42112078461900 has 288 divisors, whose sum is σ = 138370293734400. Its totient is φ = 10984734432000.

The previous prime is 42112078461853. The next prime is 42112078461919. The reversal of 42112078461900 is 916487021124.

42112078461900 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 20 + 7 + 8 + 4 + 619 + 0 + 0 = 666.

It is a super-2 number, since 2×42112078461900² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21703821 + ... + 23564379.

It is an arithmetic number, because the mean of its divisors is an integer number (480452408800).

Almost surely, 2^{42112078461900} 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 42112078461900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69185146867200).

42112078461900 is an abundant number, since it is smaller than the sum of its proper divisors (96258215272500).

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

42112078461900 is a wasteful number, since it uses less digits than its factorization.

42112078461900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860766 (or 1860753 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 42112078461900 in words is "forty-two trillion, one hundred twelve billion, seventy-eight million, four hundred sixty-one thousand, nine hundred".