42539416920 has 1536 divisors, whose sum is σ = 202777344000. Its totient is φ = 7659048960.

The previous prime is 42539416903. The next prime is 42539416949. The reversal of 42539416920 is 2961493524.

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

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, 390269826 + ... + 390269934.

It is an arithmetic number, because the mean of its divisors is an integer number (132016500).

Almost surely, 2^42539416920 is an apocalyptic number.

42539416920 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 42539416920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672000).

42539416920 is an abundant number, since it is smaller than the sum of its proper divisors (160237927080).

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

42539416920 is a wasteful number, since it uses less digits than its factorization.

42539416920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 42539416920 in words is "forty-two billion, five hundred thirty-nine million, four hundred sixteen thousand, nine hundred twenty".