42731472142800 has 1080 divisors, whose sum is σ = 186698504655936. Its totient is φ = 9192610529280.

The previous prime is 42731472142729. The next prime is 42731472142813. The reversal of 42731472142800 is 824127413724.

42731472142800 is a `hidden beast` number, since 4 + 2 + 7 + 31 + 472 + 142 + 8 + 0 + 0 = 666.

42731472142800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×42731472142800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 196526944 + ... + 196744256.

Almost surely, 2^{42731472142800} is an apocalyptic number.

42731472142800 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 42731472142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93349252327968).

42731472142800 is an abundant number, since it is smaller than the sum of its proper divisors (143967032513136).

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

42731472142800 is a wasteful number, since it uses less digits than its factorization.

42731472142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217387 (or 217347 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42731472142800 in words is "forty-two trillion, seven hundred thirty-one billion, four hundred seventy-two million, one hundred forty-two thousand, eight hundred".