1014240000 has 180 divisors, whose sum is σ = 3374713496. Its totient is φ = 270336000.

The previous prime is 1014239981. The next prime is 1014240023. The reversal of 1014240000 is 424101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 478944 + ... + 481056.

Almost surely, 2^1014240000 is an apocalyptic number.

1014240000 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 1014240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687356748).

1014240000 is an abundant number, since it is smaller than the sum of its proper divisors (2360473496).

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

1014240000 is an frugal number, since it uses more digits than its factorization.

1014240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1014240000 is about 31847.1348789809. The cubic root of 1014240000 is about 1004.7243123916.

Adding to 1014240000 its reverse (424101), we get a palindrome (1014664101).

It can be divided in two parts, 1014 and 240000, that multiplied together give a square (243360000 = 15600²).

The spelling of 1014240000 in words is "one billion, fourteen million, two hundred forty thousand".