42564426921072 has 480 divisors, whose sum is σ = 145813273575424. Its totient is φ = 11762644780800.

The previous prime is 42564426921047. The next prime is 42564426921073. The reversal of 42564426921072 is 27012962446524.

42564426921072 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 442 + 6 + 92 + 107 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564426921073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1696660113 + ... + 1696685199.

Almost surely, 2^{42564426921072} is an apocalyptic number.

42564426921072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42564426921072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72906636787712).

42564426921072 is an abundant number, since it is smaller than the sum of its proper divisors (103248846654352).

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

42564426921072 is a wasteful number, since it uses less digits than its factorization.

42564426921072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 42564426921072 in words is "forty-two trillion, five hundred sixty-four billion, four hundred twenty-six million, nine hundred twenty-one thousand, seventy-two".