42172032000 has 704 divisors, whose sum is σ = 166154826240. Its totient is φ = 9289728000.

The previous prime is 42172031963. The next prime is 42172032017. The reversal of 42172032000 is 23027124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77951730 + ... + 77952270.

Almost surely, 2^42172032000 is an apocalyptic number.

42172032000 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 42172032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83077413120).

42172032000 is an abundant number, since it is smaller than the sum of its proper divisors (123982794240).

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

42172032000 is a wasteful number, since it uses less digits than its factorization.

42172032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 42172032000 its reverse (23027124), we get a palindrome (42195059124).

The spelling of 42172032000 in words is "forty-two billion, one hundred seventy-two million, thirty-two thousand".