42972441684480 has 1920 divisors, whose sum is σ = 198953506160640. Its totient is φ = 8540546826240.

The previous prime is 42972441684437. The next prime is 42972441684563. The reversal of 42972441684480 is 8448614427924.

It is a happy number.

42972441684480 is a `hidden beast` number, since 4 + 2 + 9 + 7 + 24 + 4 + 168 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 191 ways as a sum of consecutive naturals, for example, 2815457329 + ... + 2815472591.

It is an arithmetic number, because the mean of its divisors is an integer number (103621617792).

Almost surely, 2^{42972441684480} is an apocalyptic number.

42972441684480 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 42972441684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99476753080320).

42972441684480 is an abundant number, since it is smaller than the sum of its proper divisors (155981064476160).

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

42972441684480 is a wasteful number, since it uses less digits than its factorization.

42972441684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15359 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 42972441684480 in words is "forty-two trillion, nine hundred seventy-two billion, four hundred forty-one million, six hundred eighty-four thousand, four hundred eighty".