40428896256 has 460 divisors, whose sum is σ = 146163088368. Its totient is φ = 10871635968.

The previous prime is 40428896197. The next prime is 40428896267. The reversal of 40428896256 is 65269882404.

40428896256 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 8 + 8 + 9 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2378170360 + ... + 2378170376.

Almost surely, 2^40428896256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40428896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73081544184).

40428896256 is an abundant number, since it is smaller than the sum of its proper divisors (105734192112).

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

40428896256 is an frugal number, since it uses more digits than its factorization.

40428896256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 40428896256 in words is "forty billion, four hundred twenty-eight million, eight hundred ninety-six thousand, two hundred fifty-six".