10456461440 has 64 divisors (see below), whose sum is σ = 25421256000. Its totient is φ = 4111678464.

The previous prime is 10456461359. The next prime is 10456461493. The reversal of 10456461440 is 4416465401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10456461440.

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 7 ways as a sum of consecutive naturals, for example, 100700 + ... + 176219.

It is an arithmetic number, because the mean of its divisors is an integer number (397207125).

Almost surely, 2^10456461440 is an apocalyptic number.

10456461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456461440 is an abundant number, since it is smaller than the sum of its proper divisors (14964794560).

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

10456461440 is an equidigital number, since it uses as much as digits as its factorization.

10456461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276997 (or 276985 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 10456461440 in words is "ten billion, four hundred fifty-six million, four hundred sixty-one thousand, four hundred forty".