42376487731200 has 3072 divisors, whose sum is σ = 187646942208000. Its totient is φ = 9287604633600.

The previous prime is 42376487731187. The next prime is 42376487731223. The reversal of 42376487731200 is 213778467324.

42376487731200 is a `hidden beast` number, since 4 + 2 + 3 + 76 + 487 + 73 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 388775116746 + ... + 388775116854.

It is an arithmetic number, because the mean of its divisors is an integer number (61082989000).

Almost surely, 2^{42376487731200} is an apocalyptic number.

42376487731200 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 42376487731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93823471104000).

42376487731200 is an abundant number, since it is smaller than the sum of its proper divisors (145270454476800).

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

42376487731200 is an frugal number, since it uses more digits than its factorization.

42376487731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 42376487731200 in words is "forty-two trillion, three hundred seventy-six billion, four hundred eighty-seven million, seven hundred thirty-one thousand, two hundred".