42938173209600 has 792 divisors, whose sum is σ = 164171442414720. Its totient is φ = 10698670080000.

The previous prime is 42938173209563. The next prime is 42938173209601. The reversal of 42938173209600 is 690237183924.

42938173209600 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 8 + 1 + 7 + 3 + 20 + 9 + 600 = 666.

It is a super-2 number, since 2×42938173209600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42938173209601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207025950 + ... + 207233250.

Almost surely, 2^{42938173209600} is an apocalyptic number.

42938173209600 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 42938173209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82085721207360).

42938173209600 is an abundant number, since it is smaller than the sum of its proper divisors (121233269205120).

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

42938173209600 is a wasteful number, since it uses less digits than its factorization.

42938173209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207397 (or 207371 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 42938173209600 in words is "forty-two trillion, nine hundred thirty-eight billion, one hundred seventy-three million, two hundred nine thousand, six hundred".