42831231004800 has 1152 divisors, whose sum is σ = 178933431456000. Its totient is φ = 9751324262400.

The previous prime is 42831231004693. The next prime is 42831231004847. The reversal of 42831231004800 is 840013213824.

It is a happy number.

42831231004800 is a `hidden beast` number, since 4 + 28 + 31 + 23 + 100 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2538740365 + ... + 2538757235.

It is an arithmetic number, because the mean of its divisors is an integer number (155324159250).

Almost surely, 2^{42831231004800} is an apocalyptic number.

42831231004800 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 42831231004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89466715728000).

42831231004800 is an abundant number, since it is smaller than the sum of its proper divisors (136102200451200).

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

42831231004800 is a wasteful number, since it uses less digits than its factorization.

42831231004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17179 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 42831231004800 in words is "forty-two trillion, eight hundred thirty-one billion, two hundred thirty-one million, four thousand, eight hundred".