10465400720 has 40 divisors (see below), whose sum is σ = 24384923640. Its totient is φ = 4177064960.

The previous prime is 10465400711. The next prime is 10465400741. The reversal of 10465400720 is 2700456401.

It can be written as a sum of positive squares in 4 ways, for example, as 181818256 + 10283582464 = 13484^2 + 101408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10465400720² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105005 + ... + 178764.

It is an arithmetic number, because the mean of its divisors is an integer number (609623091).

Almost surely, 2^10465400720 is an apocalyptic number.

10465400720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10465400720 is an abundant number, since it is smaller than the sum of its proper divisors (13919522920).

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

10465400720 is a wasteful number, since it uses less digits than its factorization.

10465400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284243 (or 284237 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 10465400720 in words is "ten billion, four hundred sixty-five million, four hundred thousand, seven hundred twenty".