42179751976320 has 5376 divisors, whose sum is σ = 201085781990400. Its totient is φ = 8255075254272.

The previous prime is 42179751976277. The next prime is 42179751976333. The reversal of 42179751976320 is 2367915797124.

42179751976320 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 97 + 519 + 7 + 6 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 629548536927 + ... + 629548536993.

Almost surely, 2^{42179751976320} is an apocalyptic number.

42179751976320 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 42179751976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100542890995200).

42179751976320 is an abundant number, since it is smaller than the sum of its proper divisors (158906030014080).

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

42179751976320 is a wasteful number, since it uses less digits than its factorization.

42179751976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 42179751976320 in words is "forty-two trillion, one hundred seventy-nine billion, seven hundred fifty-one million, nine hundred seventy-six thousand, three hundred twenty".