10047306240 has 120 divisors (see below), whose sum is σ = 34796727108. Its totient is φ = 2679275520.

The previous prime is 10047306239. The next prime is 10047306259. The reversal of 10047306240 is 4260374001.

10047306240 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 7 + 30 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9673115904 + 374190336 = 98352^2 + 19344^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195001 + ... + 241080.

Almost surely, 2^10047306240 is an apocalyptic number.

10047306240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047306240 is an abundant number, since it is smaller than the sum of its proper divisors (24749420868).

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

10047306240 is an equidigital number, since it uses as much as digits as its factorization.

10047306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436110 (or 436091 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10047306240 in words is "ten billion, forty-seven million, three hundred six thousand, two hundred forty".