42172765800480 has 2304 divisors, whose sum is σ = 181512176541696. Its totient is φ = 8698529710080.

The previous prime is 42172765800391. The next prime is 42172765800611. The reversal of 42172765800480 is 8400856727124.

42172765800480 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 27 + 65 + 80 + 0 + 480 = 666.

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 383 ways as a sum of consecutive naturals, for example, 137370572487 + ... + 137370572793.

It is an arithmetic number, because the mean of its divisors is an integer number (78781326624).

Almost surely, 2^{42172765800480} is an apocalyptic number.

42172765800480 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 42172765800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90756088270848).

42172765800480 is an abundant number, since it is smaller than the sum of its proper divisors (139339410741216).

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

42172765800480 is a wasteful number, since it uses less digits than its factorization.

42172765800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 42172765800480 in words is "forty-two trillion, one hundred seventy-two billion, seven hundred sixty-five million, eight hundred thousand, four hundred eighty".