42342976530432 has 1152 divisors, whose sum is σ = 140617262822400. Its totient is φ = 12669553999872.

The previous prime is 42342976530427. The next prime is 42342976530497. The reversal of 42342976530432 is 23403567924324.

42342976530432 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 2 + 9 + 76 + 530 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×42342976530432² (a number of 28 digits) contains 22 as substring.

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

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, 24575145123 + ... + 24575146845.

It is an arithmetic number, because the mean of its divisors is an integer number (122063596200).

Almost surely, 2^{42342976530432} 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 42342976530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308631411200).

42342976530432 is an abundant number, since it is smaller than the sum of its proper divisors (98274286291968).

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

42342976530432 is a wasteful number, since it uses less digits than its factorization.

42342976530432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 42342976530432 in words is "forty-two trillion, three hundred forty-two billion, nine hundred seventy-six million, five hundred thirty thousand, four hundred thirty-two".