42394572121600 has 960 divisors, whose sum is σ = 113017898391552. Its totient is φ = 15739895808000.

The previous prime is 42394572121591. The next prime is 42394572121631. The reversal of 42394572121600 is 612127549324.

It is a congruent number.

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, 138093068647 + ... + 138093068953.

Almost surely, 2^{42394572121600} is an apocalyptic number.

42394572121600 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 42394572121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56508949195776).

42394572121600 is an abundant number, since it is smaller than the sum of its proper divisors (70623326269952).

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

42394572121600 is a wasteful number, since it uses less digits than its factorization.

42394572121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 42394572121600 in words is "forty-two trillion, three hundred ninety-four billion, five hundred seventy-two million, one hundred twenty-one thousand, six hundred".