42175020625920 has 3328 divisors, whose sum is σ = 200657849548800. Its totient is φ = 8152452956160.

The previous prime is 42175020625891. The next prime is 42175020625921. The reversal of 42175020625920 is 2952602057124.

42175020625920 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 50 + 2 + 0 + 6 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42175020625921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29638102329 + ... + 29638103751.

Almost surely, 2^{42175020625920} is an apocalyptic number.

42175020625920 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 42175020625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100328924774400).

42175020625920 is an abundant number, since it is smaller than the sum of its proper divisors (158482828922880).

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

42175020625920 is a wasteful number, since it uses less digits than its factorization.

42175020625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 42175020625920 in words is "forty-two trillion, one hundred seventy-five billion, twenty million, six hundred twenty-five thousand, nine hundred twenty".