42574974235920 has 720 divisors, whose sum is σ = 172631957097600. Its totient is φ = 9210041044992.

The previous prime is 42574974235919. The next prime is 42574974236017. The reversal of 42574974235920 is 2953247947524.

It is a happy number.

42574974235920 is a `hidden beast` number, since 4 + 2 + 5 + 74 + 97 + 423 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1908581407 + ... + 1908603713.

It is an arithmetic number, because the mean of its divisors is an integer number (239766607080).

Almost surely, 2^{42574974235920} is an apocalyptic number.

42574974235920 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 42574974235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86315978548800).

42574974235920 is an abundant number, since it is smaller than the sum of its proper divisors (130056982861680).

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

42574974235920 is a wasteful number, since it uses less digits than its factorization.

42574974235920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23420 (or 23392 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 42574974235920 in words is "forty-two trillion, five hundred seventy-four billion, nine hundred seventy-four million, two hundred thirty-five thousand, nine hundred twenty".