1314210040 has 96 divisors (see below), whose sum is σ = 3500411040. Its totient is φ = 441112320.

The previous prime is 1314210017. The next prime is 1314210061. The reversal of 1314210040 is 400124131.

It is a junction number, because it is equal to n+sod(n) for n = 1314209996 and 1314210023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52477 + ... + 73363.

It is an arithmetic number, because the mean of its divisors is an integer number (36462615).

Almost surely, 2^1314210040 is an apocalyptic number.

1314210040 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 1314210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750205520).

1314210040 is an abundant number, since it is smaller than the sum of its proper divisors (2186201000).

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

1314210040 is a wasteful number, since it uses less digits than its factorization.

1314210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20933 (or 20918 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1314210040 is about 36252.0349773637. The cubic root of 1314210040 is about 1095.3550803849.

Adding to 1314210040 its reverse (400124131), we get a palindrome (1714334171).

The spelling of 1314210040 in words is "one billion, three hundred fourteen million, two hundred ten thousand, forty".