42019011792 has 280 divisors, whose sum is σ = 130749075720. Its totient is φ = 13028843520.

The previous prime is 42019011781. The next prime is 42019011817. The reversal of 42019011792 is 29711091024.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 42018440256 = 756^2 + 204984^2 .

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 55 ways as a sum of consecutive naturals, for example, 17646442 + ... + 17648822.

Almost surely, 2^42019011792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42019011792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65374537860).

42019011792 is an abundant number, since it is smaller than the sum of its proper divisors (88730063928).

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

42019011792 is a wasteful number, since it uses less digits than its factorization.

42019011792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 42019011792 in words is "forty-two billion, nineteen million, eleven thousand, seven hundred ninety-two".