256101151440 has 40 divisors (see below), whose sum is σ = 793913570208. Its totient is φ = 68293640320.

The previous prime is 256101151399. The next prime is 256101151459. The reversal of 256101151440 is 44151101652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×256101151440³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 256101151398 and 256101151407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533543826 + ... + 533544305.

Almost surely, 2^256101151440 is an apocalyptic number.

256101151440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256101151440 is an abundant number, since it is smaller than the sum of its proper divisors (537812418768).

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

256101151440 is a wasteful number, since it uses less digits than its factorization.

256101151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067088147 (or 1067088141 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 256101151440 in words is "two hundred fifty-six billion, one hundred one million, one hundred fifty-one thousand, four hundred forty".