42245819777520 has 480 divisors, whose sum is σ = 150524555454720. Its totient is φ = 10890127987200.

The previous prime is 42245819777443. The next prime is 42245819777543. The reversal of 42245819777520 is 2577791854224.

42245819777520 is a `hidden beast` number, since 4 + 2 + 2 + 458 + 1 + 97 + 7 + 75 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965733975 + ... + 1965755465.

It is an arithmetic number, because the mean of its divisors is an integer number (313592823864).

Almost surely, 2^{42245819777520} is an apocalyptic number.

42245819777520 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 42245819777520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75262277727360).

42245819777520 is an abundant number, since it is smaller than the sum of its proper divisors (108278735677200).

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

42245819777520 is a wasteful number, since it uses less digits than its factorization.

42245819777520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22522 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 42245819777520 in words is "forty-two trillion, two hundred forty-five billion, eight hundred nineteen million, seven hundred seventy-seven thousand, five hundred twenty".