10202657040 has 120 divisors (see below), whose sum is σ = 35445510360. Its totient is φ = 2626885632.

The previous prime is 10202657033. The next prime is 10202657071. The reversal of 10202657040 is 4075620201.

10202657040 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 657 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 736145424 + 9466511616 = 27132^2 + 97296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 10202656995 and 10202657013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223437 + ... + 265196.

It is an arithmetic number, because the mean of its divisors is an integer number (295379253).

Almost surely, 2^10202657040 is an apocalyptic number.

10202657040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202657040 is an abundant number, since it is smaller than the sum of its proper divisors (25242853320).

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

10202657040 is a wasteful number, since it uses less digits than its factorization.

10202657040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488681 (or 488672 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10202657040 in words is "ten billion, two hundred two million, six hundred fifty-seven thousand, forty".