42831446548800 has 1344 divisors, whose sum is σ = 174397302858240. Its totient is φ = 8961738670080.

The previous prime is 42831446548799. The next prime is 42831446548843. The reversal of 42831446548800 is 884564413824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×42831446548800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35194285792 + ... + 35194287008.

It is an arithmetic number, because the mean of its divisors is an integer number (129759897960).

Almost surely, 2^{42831446548800} is an apocalyptic number.

42831446548800 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 42831446548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87198651429120).

42831446548800 is an abundant number, since it is smaller than the sum of its proper divisors (131565856309440).

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

42831446548800 is a wasteful number, since it uses less digits than its factorization.

42831446548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 42831446548800 in words is "forty-two trillion, eight hundred thirty-one billion, four hundred forty-six million, five hundred forty-eight thousand, eight hundred".