10459561440 has 96 divisors (see below), whose sum is σ = 34885740960. Its totient is φ = 2625142784.

The previous prime is 10459561439. The next prime is 10459561447. The reversal of 10459561440 is 4416595401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10459561447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632745 + ... + 649064.

It is an arithmetic number, because the mean of its divisors is an integer number (363393135).

Almost surely, 2^10459561440 is an apocalyptic number.

10459561440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10459561440 is an abundant number, since it is smaller than the sum of its proper divisors (24426179520).

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

10459561440 is a wasteful number, since it uses less digits than its factorization.

10459561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281844 (or 1281836 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 10459561440 in words is "ten billion, four hundred fifty-nine million, five hundred sixty-one thousand, four hundred forty".