42239171520 has 896 divisors, whose sum is σ = 189422714880. Its totient is φ = 8619540480.

The previous prime is 42239171483. The next prime is 42239171573. The reversal of 42239171520 is 2517193224.

42239171520 is a `hidden beast` number, since 42 + 2 + 3 + 91 + 7 + 1 + 520 = 666.

42239171520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42239171520² (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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24372574 + ... + 24374306.

It is an arithmetic number, because the mean of its divisors is an integer number (211409280).

Almost surely, 2^42239171520 is an apocalyptic number.

42239171520 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 42239171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711357440).

42239171520 is an abundant number, since it is smaller than the sum of its proper divisors (147183543360).

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

42239171520 is a wasteful number, since it uses less digits than its factorization.

42239171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 42239171520 in words is "forty-two billion, two hundred thirty-nine million, one hundred seventy-one thousand, five hundred twenty".