9990090240 has 480 divisors, whose sum is σ = 35584686720. Its totient is φ = 2388492288.

The previous prime is 9990090233. The next prime is 9990090251. The reversal of 9990090240 is 420900999.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 9990090192 and 9990090201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55810471 + ... + 55810649.

It is an arithmetic number, because the mean of its divisors is an integer number (74134764).

Almost surely, 2^9990090240 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 9990090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17792343360).

9990090240 is an abundant number, since it is smaller than the sum of its proper divisors (25594596480).

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

9990090240 is a wasteful number, since it uses less digits than its factorization.

9990090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 9990090240 is about 99950.4389184960. The cubic root of 9990090240 is about 2153.7227904645.

The spelling of 9990090240 in words is "nine billion, nine hundred ninety million, ninety thousand, two hundred forty".