42290688384 has 640 divisors, whose sum is σ = 153980766720. Its totient is φ = 11247206400.

The previous prime is 42290688373. The next prime is 42290688397. The reversal of 42290688384 is 48388609224.

42290688384 is a `hidden beast` number, since 422 + 9 + 0 + 68 + 83 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42290688384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 186302479 + ... + 186302705.

It is an arithmetic number, because the mean of its divisors is an integer number (240594948).

Almost surely, 2^42290688384 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 42290688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76990383360).

42290688384 is an abundant number, since it is smaller than the sum of its proper divisors (111690078336).

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

42290688384 is a wasteful number, since it uses less digits than its factorization.

42290688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 42290688384 in words is "forty-two billion, two hundred ninety million, six hundred eighty-eight thousand, three hundred eighty-four".