290490874128 has 720 divisors, whose sum is σ = 1053234838656. Its totient is φ = 75888783360.

The previous prime is 290490874127. The next prime is 290490874151. The reversal of 290490874128 is 821478094092.

290490874128 is a `hidden beast` number, since 2 + 90 + 490 + 8 + 7 + 41 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (290490874123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630131818 + ... + 630132278.

Almost surely, 2^290490874128 is an apocalyptic number.

290490874128 is a gapful number since it is divisible by the number (28) 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 290490874128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526617419328).

290490874128 is an abundant number, since it is smaller than the sum of its proper divisors (762743964528).

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

290490874128 is a wasteful number, since it uses less digits than its factorization.

290490874128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 290490874128 in words is "two hundred ninety billion, four hundred ninety million, eight hundred seventy-four thousand, one hundred twenty-eight".