42321624408 has 96 divisors (see below), whose sum is σ = 131458828800. Its totient is φ = 12049124544.

The previous prime is 42321624383. The next prime is 42321624427. The reversal of 42321624408 is 80442612324.

42321624408 is a `hidden beast` number, since 4 + 2 + 3 + 21 + 624 + 4 + 0 + 8 = 666.

42321624408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42321624408² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5728 + ... + 290991.

It is an arithmetic number, because the mean of its divisors is an integer number (1369362800).

Almost surely, 2^42321624408 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 42321624408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65729414400).

42321624408 is an abundant number, since it is smaller than the sum of its proper divisors (89137204392).

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

42321624408 is a wasteful number, since it uses less digits than its factorization.

42321624408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297021 (or 297014 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42321624408 in words is "forty-two billion, three hundred twenty-one million, six hundred twenty-four thousand, four hundred eight".