16456312440 has 96 divisors (see below), whose sum is σ = 53542288800. Its totient is φ = 4383486720.

The previous prime is 16456312417. The next prime is 16456312441. The reversal of 16456312440 is 4421365461.

16456312440 is a `hidden beast` number, since 1 + 645 + 6 + 3 + 1 + 2 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16456312395 and 16456312404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16456312441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305970 + ... + 355710.

It is an arithmetic number, because the mean of its divisors is an integer number (557732175).

Almost surely, 2^16456312440 is an apocalyptic number.

16456312440 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 16456312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26771144400).

16456312440 is an abundant number, since it is smaller than the sum of its proper divisors (37085976360).

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

16456312440 is a wasteful number, since it uses less digits than its factorization.

16456312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50677 (or 50670 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16456312440 in words is "sixteen billion, four hundred fifty-six million, three hundred twelve thousand, four hundred forty".