42722424971520 has 576 divisors, whose sum is σ = 158515900784640. Its totient is φ = 9604370202624.

The previous prime is 42722424971491. The next prime is 42722424971543. The reversal of 42722424971520 is 2517942422724.

It is a super-2 number, since 2×42722424971520² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704413837 + ... + 704474483.

It is an arithmetic number, because the mean of its divisors is an integer number (275201216640).

Almost surely, 2^{42722424971520} is an apocalyptic number.

42722424971520 is a gapful number since it is divisible by the number (40) 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 42722424971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79257950392320).

42722424971520 is an abundant number, since it is smaller than the sum of its proper divisors (115793475813120).

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

42722424971520 is a wasteful number, since it uses less digits than its factorization.

42722424971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61110 (or 61096 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 42722424971520 in words is "forty-two trillion, seven hundred twenty-two billion, four hundred twenty-four million, nine hundred seventy-one thousand, five hundred twenty".