42563463418080 has 2304 divisors, whose sum is σ = 178250464788480. Its totient is φ = 9441495613440.

The previous prime is 42563463418043. The next prime is 42563463418139. The reversal of 42563463418080 is 8081436436524.

42563463418080 is a `hidden beast` number, since 4 + 2 + 5 + 63 + 463 + 41 + 8 + 0 + 80 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93136681212 + ... + 93136681668.

It is an arithmetic number, because the mean of its divisors is an integer number (77365653120).

Almost surely, 2^{42563463418080} is an apocalyptic number.

42563463418080 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 42563463418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89125232394240).

42563463418080 is an abundant number, since it is smaller than the sum of its proper divisors (135687001370400).

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

42563463418080 is a wasteful number, since it uses less digits than its factorization.

42563463418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 42563463418080 in words is "forty-two trillion, five hundred sixty-three billion, four hundred sixty-three million, four hundred eighteen thousand, eighty".