42156291521100 has 288 divisors, whose sum is σ = 126528766640640. Its totient is φ = 10827904296960.

The previous prime is 42156291521059. The next prime is 42156291521117. The reversal of 42156291521100 is 112519265124.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5040805519 + ... + 5040813881.

It is an arithmetic number, because the mean of its divisors is an integer number (439335995280).

Almost surely, 2^{42156291521100} 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 42156291521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63264383320320).

42156291521100 is an abundant number, since it is smaller than the sum of its proper divisors (84372475119540).

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

42156291521100 is a wasteful number, since it uses less digits than its factorization.

42156291521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 42156291521100 in words is "forty-two trillion, one hundred fifty-six billion, two hundred ninety-one million, five hundred twenty-one thousand, one hundred".