10240635514004 has 48 divisors (see below), whose sum is σ = 21382717956096. Its totient is φ = 4195872252000.

The previous prime is 10240635513961. The next prime is 10240635514033. The reversal of 10240635514004 is 40041553604201.

It is a super-2 number, since 2×10240635514004² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2818802 + ... + 5331689.

It is an arithmetic number, because the mean of its divisors is an integer number (445473290752).

Almost surely, 2^{10240635514004} is an apocalyptic number.

10240635514004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10240635514004 is an abundant number, since it is smaller than the sum of its proper divisors (11142082442092).

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

10240635514004 is a wasteful number, since it uses less digits than its factorization.

10240635514004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152476 (or 8152474 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 10240635514004 in words is "ten trillion, two hundred forty billion, six hundred thirty-five million, five hundred fourteen thousand, four".