290417985816 has 128 divisors (see below), whose sum is σ = 863847936000. Its totient is φ = 79604808192.

The previous prime is 290417985799. The next prime is 290417985833. The reversal of 290417985816 is 618589714092.

It is an interprime number because it is at equal distance from previous prime (290417985799) and next prime (290417985833).

It is a self number, because there is not a number n which added to its sum of digits gives 290417985816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575065 + ... + 954743.

It is an arithmetic number, because the mean of its divisors is an integer number (6748812000).

Almost surely, 2^290417985816 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 290417985816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431923968000).

290417985816 is an abundant number, since it is smaller than the sum of its proper divisors (573429950184).

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

290417985816 is a wasteful number, since it uses less digits than its factorization.

290417985816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379881 (or 379877 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 290417985816 in words is "two hundred ninety billion, four hundred seventeen million, nine hundred eighty-five thousand, eight hundred sixteen".