42426755804160 has 1408 divisors, whose sum is σ = 185854383912960. Its totient is φ = 8937949888512.

The previous prime is 42426755804149. The next prime is 42426755804239. The reversal of 42426755804160 is 6140855762424.

42426755804160 is a `hidden beast` number, since 4 + 2 + 4 + 26 + 7 + 558 + 0 + 4 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 42426755804097 and 42426755804106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9724214139 + ... + 9724218501.

Almost surely, 2^{42426755804160} is an apocalyptic number.

42426755804160 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 42426755804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92927191956480).

42426755804160 is an abundant number, since it is smaller than the sum of its proper divisors (143427628108800).

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

42426755804160 is a wasteful number, since it uses less digits than its factorization.

42426755804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 42426755804160 in words is "forty-two trillion, four hundred twenty-six billion, seven hundred fifty-five million, eight hundred four thousand, one hundred sixty".