42637306631100 has 144 divisors (see below), whose sum is σ = 127349379118080. Its totient is φ = 11002661222400.

The previous prime is 42637306631099. The next prime is 42637306631119. The reversal of 42637306631100 is 113660373624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223876716 + ... + 224067084.

It is an arithmetic number, because the mean of its divisors is an integer number (884370688320).

Almost surely, 2^{42637306631100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42637306631100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63674689559040).

42637306631100 is an abundant number, since it is smaller than the sum of its proper divisors (84712072486980).

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

42637306631100 is a wasteful number, since it uses less digits than its factorization.

42637306631100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214500 (or 214493 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 42637306631100 in words is "forty-two trillion, six hundred thirty-seven billion, three hundred six million, six hundred thirty-one thousand, one hundred".