42192382921920 has 5376 divisors, whose sum is σ = 206788648550400. Its totient is φ = 7993359728640.

The previous prime is 42192382921907. The next prime is 42192382921963. The reversal of 42192382921920 is 2912928329124.

42192382921920 is a `hidden beast` number, since 4 + 2 + 1 + 92 + 382 + 92 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 534080796441 + ... + 534080796519.

It is an arithmetic number, because the mean of its divisors is an integer number (38465150400).

Almost surely, 2^{42192382921920} is an apocalyptic number.

42192382921920 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 42192382921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103394324275200).

42192382921920 is an abundant number, since it is smaller than the sum of its proper divisors (164596265628480).

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

42192382921920 is a wasteful number, since it uses less digits than its factorization.

42192382921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 42192382921920 in words is "forty-two trillion, one hundred ninety-two billion, three hundred eighty-two million, nine hundred twenty-one thousand, nine hundred twenty".