42016420992 has 256 divisors, whose sum is σ = 145443513600. Its totient is φ = 10429267968.

The previous prime is 42016420981. The next prime is 42016420993. The reversal of 42016420992 is 29902461024.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42016420992.

It is not an unprimeable number, because it can be changed into a prime (42016420993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558684 + ... + 629412.

It is an arithmetic number, because the mean of its divisors is an integer number (568138725).

Almost surely, 2^42016420992 is an apocalyptic number.

42016420992 is a gapful number since it is divisible by the number (42) 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 42016420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72721756800).

42016420992 is an abundant number, since it is smaller than the sum of its proper divisors (103427092608).

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

42016420992 is a wasteful number, since it uses less digits than its factorization.

42016420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70783 (or 70771 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 42016420992 in words is "forty-two billion, sixteen million, four hundred twenty thousand, nine hundred ninety-two".