42158819520 has 896 divisors, whose sum is σ = 166856785920. Its totient is φ = 9970974720.

The previous prime is 42158819491. The next prime is 42158819539. The reversal of 42158819520 is 2591885124.

42158819520 is a `hidden beast` number, since 4 + 2 + 1 + 588 + 19 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 214004062 + ... + 214004258.

Almost surely, 2^42158819520 is an apocalyptic number.

42158819520 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 42158819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83428392960).

42158819520 is an abundant number, since it is smaller than the sum of its proper divisors (124697966400).

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

42158819520 is a wasteful number, since it uses less digits than its factorization.

42158819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 42158819520 in words is "forty-two billion, one hundred fifty-eight million, eight hundred nineteen thousand, five hundred twenty".