42421826520 has 256 divisors, whose sum is σ = 156235392000. Its totient is φ = 10184030208.

The previous prime is 42421826459. The next prime is 42421826533. The reversal of 42421826520 is 2562812424.

42421826520 is a `hidden beast` number, since 424 + 2 + 182 + 6 + 52 + 0 = 666.

It is a super-2 number, since 2×42421826520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372051 + ... + 472509.

It is an arithmetic number, because the mean of its divisors is an integer number (610294500).

Almost surely, 2^42421826520 is an apocalyptic number.

42421826520 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 42421826520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78117696000).

42421826520 is an abundant number, since it is smaller than the sum of its proper divisors (113813565480).

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

42421826520 is a wasteful number, since it uses less digits than its factorization.

42421826520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100519 (or 100509 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42421826520 in words is "forty-two billion, four hundred twenty-one million, eight hundred twenty-six thousand, five hundred twenty".