42319021536 has 672 divisors, whose sum is σ = 147248085600. Its totient is φ = 11824496640.

The previous prime is 42319021523. The next prime is 42319021559. The reversal of 42319021536 is 63512091324.

42319021536 is a `hidden beast` number, since 4 + 2 + 31 + 90 + 2 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42319021536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 388247850 + ... + 388247958.

It is an arithmetic number, because the mean of its divisors is an integer number (219119175).

Almost surely, 2^42319021536 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 42319021536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73624042800).

42319021536 is an abundant number, since it is smaller than the sum of its proper divisors (104929064064).

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

42319021536 is a wasteful number, since it uses less digits than its factorization.

42319021536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 42319021536 in words is "forty-two billion, three hundred nineteen million, twenty-one thousand, five hundred thirty-six".