42645172398192 has 240 divisors, whose sum is σ = 147634565158080. Its totient is φ = 11189985988608.

The previous prime is 42645172398167. The next prime is 42645172398233. The reversal of 42645172398192 is 29189327154624.

It is a happy number.

42645172398192 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 51 + 7 + 2 + 398 + 192 = 666.

It is a super-2 number, since 2×42645172398192² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5678317 + ... + 10841292.

It is an arithmetic number, because the mean of its divisors is an integer number (615144021492).

Almost surely, 2^{42645172398192} is an apocalyptic number.

42645172398192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42645172398192 is an abundant number, since it is smaller than the sum of its proper divisors (104989392759888).

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

42645172398192 is a wasteful number, since it uses less digits than its factorization.

42645172398192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16519840 (or 16519831 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 42645172398192 in words is "forty-two trillion, six hundred forty-five billion, one hundred seventy-two million, three hundred ninety-eight thousand, one hundred ninety-two".