10345354440 has 64 divisors (see below), whose sum is σ = 32106283200. Its totient is φ = 2663630592.

The previous prime is 10345354429. The next prime is 10345354457. The reversal of 10345354440 is 4445354301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482922 + ... + 1489881.

It is an arithmetic number, because the mean of its divisors is an integer number (501660675).

Almost surely, 2^10345354440 is an apocalyptic number.

10345354440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345354440 is an abundant number, since it is smaller than the sum of its proper divisors (21760928760).

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

10345354440 is a wasteful number, since it uses less digits than its factorization.

10345354440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972846 (or 2972842 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 10345354440 in words is "ten billion, three hundred forty-five million, three hundred fifty-four thousand, four hundred forty".