290042599392 has 1728 divisors, whose sum is σ = 1199890298880. Its totient is φ = 66754658304.

The previous prime is 290042599391. The next prime is 290042599397. The reversal of 290042599392 is 293995240092.

It is a happy number.

290042599392 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 42 + 599 + 3 + 9 + 2 = 666.

It is a super-3 number, since 3×290042599392³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290042599391) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6171119113 + ... + 6171119159.

It is an arithmetic number, because the mean of its divisors is an integer number (694380960).

Almost surely, 2^290042599392 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 290042599392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599945149440).

290042599392 is an abundant number, since it is smaller than the sum of its proper divisors (909847699488).

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

290042599392 is a wasteful number, since it uses less digits than its factorization.

290042599392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 290042599392 in words is "two hundred ninety billion, forty-two million, five hundred ninety-nine thousand, three hundred ninety-two".