1014400000 has 132 divisors (see below), whose sum is σ = 2542595076. Its totient is φ = 404480000.

The previous prime is 1014399973. The next prime is 1014400003. The reversal of 1014400000 is 44101.

It can be written as a sum of positive squares in 6 ways, for example, as 989479936 + 24920064 = 31456^2 + 4992^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1014400000.

It is not an unprimeable number, because it can be changed into a prime (1014400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3199842 + ... + 3200158.

Almost surely, 2^1014400000 is an apocalyptic number.

1014400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271297538).

1014400000 is an abundant number, since it is smaller than the sum of its proper divisors (1528195076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1014400000 is an frugal number, since it uses more digits than its factorization.

1014400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1014400000 is about 31849.6467798310. The cubic root of 1014400000 is about 1004.7771425690. Note that the first 3 decimals are identical.

Adding to 1014400000 its reverse (44101), we get a palindrome (1014444101).

It can be divided in two parts, 10 and 14400000, that multiplied together give a square (144000000 = 12000²).

The spelling of 1014400000 in words is "one billion, fourteen million, four hundred thousand".