290020885440 has 448 divisors, whose sum is σ = 1085436398592. Its totient is φ = 64681574400.

The previous prime is 290020885417. The next prime is 290020885457. The reversal of 290020885440 is 44588020092.

It is a super-2 number, since 2×290020885440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290020885392 and 290020885401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42690684 + ... + 42697476.

It is an arithmetic number, because the mean of its divisors is an integer number (2422849104).

Almost surely, 2^290020885440 is an apocalyptic number.

290020885440 is a gapful number since it is divisible by the number (20) 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 290020885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542718199296).

290020885440 is an abundant number, since it is smaller than the sum of its proper divisors (795415513152).

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

290020885440 is a wasteful number, since it uses less digits than its factorization.

290020885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 290020885440 in words is "two hundred ninety billion, twenty million, eight hundred eighty-five thousand, four hundred forty".