10240502400 has 144 divisors (see below), whose sum is σ = 36540562110. Its totient is φ = 2730792960.

The previous prime is 10240502399. The next prime is 10240502423. The reversal of 10240502400 is 420504201.

It can be written as a sum of positive squares in 3 ways, for example, as 4701570624 + 5538931776 = 68568^2 + 74424^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148987 + ... + 206586.

Almost surely, 2^10240502400 is an apocalyptic number.

10240502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240502400 is an abundant number, since it is smaller than the sum of its proper divisors (26300059710).

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

10240502400 is a wasteful number, since it uses less digits than its factorization.

10240502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355603 (or 355583 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 10240502400 in words is "ten billion, two hundred forty million, five hundred two thousand, four hundred".