9890180400 has 240 divisors, whose sum is σ = 32392926720. Its totient is φ = 2578867200.

The previous prime is 9890180393. The next prime is 9890180441. The reversal of 9890180400 is 40810989.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×9890180400³ (a number of 31 digits) contains 333 as substring.

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, 10855945 + ... + 10856855.

It is an arithmetic number, because the mean of its divisors is an integer number (134970528).

Almost surely, 2^9890180400 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 9890180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196463360).

9890180400 is an abundant number, since it is smaller than the sum of its proper divisors (22502746320).

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

9890180400 is a wasteful number, since it uses less digits than its factorization.

9890180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 9890180400 is about 99449.3861217856. The cubic root of 9890180400 is about 2146.5190038127.

The spelling of 9890180400 in words is "nine billion, eight hundred ninety million, one hundred eighty thousand, four hundred".