42628830408576 has 768 divisors, whose sum is σ = 137719169602560. Its totient is φ = 13076491862016.

The previous prime is 42628830408551. The next prime is 42628830408589. The reversal of 42628830408576 is 67580403882624.

42628830408576 is a `hidden beast` number, since 4 + 2 + 6 + 28 + 8 + 30 + 4 + 0 + 8 + 576 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4853557081 + ... + 4853565863.

It is an arithmetic number, because the mean of its divisors is an integer number (179321835420).

Almost surely, 2^{42628830408576} 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 42628830408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68859584801280).

42628830408576 is an abundant number, since it is smaller than the sum of its proper divisors (95090339193984).

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

42628830408576 is a wasteful number, since it uses less digits than its factorization.

42628830408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9033 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 42628830408576 in words is "forty-two trillion, six hundred twenty-eight billion, eight hundred thirty million, four hundred eight thousand, five hundred seventy-six".