42292860255360 has 4096 divisors, whose sum is σ = 192353107968000. Its totient is φ = 8628299366400.

The previous prime is 42292860255311. The next prime is 42292860255383. The reversal of 42292860255360 is 6355206829224.

42292860255360 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 2 + 86 + 0 + 2 + 553 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42292860255297 and 42292860255306.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 244467400234 + ... + 244467400406.

It is an arithmetic number, because the mean of its divisors is an integer number (46961208000).

Almost surely, 2^{42292860255360} is an apocalyptic number.

42292860255360 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 42292860255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96176553984000).

42292860255360 is an abundant number, since it is smaller than the sum of its proper divisors (150060247712640).

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

42292860255360 is a wasteful number, since it uses less digits than its factorization.

42292860255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 42292860255360 in words is "forty-two trillion, two hundred ninety-two billion, eight hundred sixty million, two hundred fifty-five thousand, three hundred sixty".