42021056000088 has 192 divisors, whose sum is σ = 125624362406400. Its totient is φ = 12583570272000.

The previous prime is 42021056000087. The next prime is 42021056000111. The reversal of 42021056000088 is 88000065012024.

42021056000088 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 10 + 560 + 0 + 0 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021056000087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23949418 + ... + 25644038.

It is an arithmetic number, because the mean of its divisors is an integer number (654293554200).

Almost surely, 2^{42021056000088} 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 42021056000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62812181203200).

42021056000088 is an abundant number, since it is smaller than the sum of its proper divisors (83603306406312).

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

42021056000088 is a wasteful number, since it uses less digits than its factorization.

42021056000088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695014 (or 1695007 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 42021056000088 in words is "forty-two trillion, twenty-one billion, fifty-six million, eighty-eight", and thus it is an aban number and an uban number.