42112906560 has 448 divisors, whose sum is σ = 152952053760. Its totient is φ = 10901882880.

The previous prime is 42112906547. The next prime is 42112906601. The reversal of 42112906560 is 6560921124.

42112906560 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 2 + 90 + 6 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97709545 + ... + 97709975.

Almost surely, 2^42112906560 is an apocalyptic number.

42112906560 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 42112906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76476026880).

42112906560 is an abundant number, since it is smaller than the sum of its proper divisors (110839147200).

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

42112906560 is a wasteful number, since it uses less digits than its factorization.

42112906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 42112906560 in words is "forty-two billion, one hundred twelve million, nine hundred six thousand, five hundred sixty".