4256456543430 has 384 divisors, whose sum is σ = 13008163424256. Its totient is φ = 883395072000.

The previous prime is 4256456543377. The next prime is 4256456543527. The reversal of 4256456543430 is 343456546524.

It is a super-2 number, since 2×4256456543430² (a number of 26 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 191 ways as a sum of consecutive naturals, for example, 297210670 + ... + 297224990.

It is an arithmetic number, because the mean of its divisors is an integer number (33875425584).

Almost surely, 2^{4256456543430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256456543430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504081712128).

4256456543430 is an abundant number, since it is smaller than the sum of its proper divisors (8751706880826).

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

4256456543430 is a wasteful number, since it uses less digits than its factorization.

4256456543430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14605 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 51.

The spelling of 4256456543430 in words is "four trillion, two hundred fifty-six billion, four hundred fifty-six million, five hundred forty-three thousand, four hundred thirty".