42267439507392 has 1120 divisors, whose sum is σ = 142914575232000. Its totient is φ = 12234873692160.

The previous prime is 42267439507387. The next prime is 42267439507411. The reversal of 42267439507392 is 29370593476224.

It is a happy number.

42267439507392 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 7 + 4 + 39 + 507 + 3 + 92 = 666.

It is a super-2 number, since 2×42267439507392² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90508435543 + ... + 90508436009.

Almost surely, 2^{42267439507392} 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 42267439507392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71457287616000).

42267439507392 is an abundant number, since it is smaller than the sum of its proper divisors (100647135724608).

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

42267439507392 is a wasteful number, since it uses less digits than its factorization.

42267439507392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 42267439507392 in words is "forty-two trillion, two hundred sixty-seven billion, four hundred thirty-nine million, five hundred seven thousand, three hundred ninety-two".