42973082873280 has 672 divisors, whose sum is σ = 169355757287808. Its totient is φ = 9797419008000.

The previous prime is 42973082873261. The next prime is 42973082873297. The reversal of 42973082873280 is 8237828037924.

42973082873280 is a `hidden beast` number, since 4 + 2 + 9 + 73 + 0 + 8 + 287 + 3 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 19959628684 + ... + 19959630836.

It is an arithmetic number, because the mean of its divisors is an integer number (252017495964).

Almost surely, 2^{42973082873280} is an apocalyptic number.

42973082873280 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 42973082873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84677878643904).

42973082873280 is an abundant number, since it is smaller than the sum of its proper divisors (126382674414528).

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

42973082873280 is a wasteful number, since it uses less digits than its factorization.

42973082873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 42973082873280 in words is "forty-two trillion, nine hundred seventy-three billion, eighty-two million, eight hundred seventy-three thousand, two hundred eighty".