4256138245000 has 80 divisors (see below), whose sum is σ = 9972921627900. Its totient is φ = 1702320480000.

The previous prime is 4256138244991. The next prime is 4256138245001. The reversal of 4256138245000 is 5428316524.

It can be written as a sum of positive squares in 10 ways, for example, as 1016922997476 + 3239215247524 = 1008426^2 + 1799782^2 .

It is a super-2 number, since 2×4256138245000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4256138245001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84119710 + ... + 84170290.

Almost surely, 2^{4256138245000} is an apocalyptic number.

4256138245000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4256138245000 is an abundant number, since it is smaller than the sum of its proper divisors (5716783382900).

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

4256138245000 is a wasteful number, since it uses less digits than its factorization.

4256138245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67436 (or 67417 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 4256138245000 in words is "four trillion, two hundred fifty-six billion, one hundred thirty-eight million, two hundred forty-five thousand".