42277174788096 has 480 divisors, whose sum is σ = 127604764022400. Its totient is φ = 13829650513920.

The previous prime is 42277174788041. The next prime is 42277174788097. The reversal of 42277174788096 is 69088747177224.

42277174788096 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 71 + 7 + 478 + 80 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42277174788097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21427862566 + ... + 21427864538.

It is an arithmetic number, because the mean of its divisors is an integer number (265843258380).

Almost surely, 2^{42277174788096} 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 42277174788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63802382011200).

42277174788096 is an abundant number, since it is smaller than the sum of its proper divisors (85327589234304).

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

42277174788096 is an equidigital number, since it uses as much as digits as its factorization.

42277174788096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 42277174788096 in words is "forty-two trillion, two hundred seventy-seven billion, one hundred seventy-four million, seven hundred eighty-eight thousand, ninety-six".