10407989900 has 288 divisors, whose sum is σ = 31120008192. Its totient is φ = 2919628800.

The previous prime is 10407989899. The next prime is 10407989939. The reversal of 10407989900 is 998970401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3008972 + ... + 3012428.

It is an arithmetic number, because the mean of its divisors is an integer number (108055584).

Almost surely, 2^10407989900 is an apocalyptic number.

10407989900 is a gapful number since it is divisible by the number (10) 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 10407989900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560004096).

10407989900 is an abundant number, since it is smaller than the sum of its proper divisors (20712018292).

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

10407989900 is a wasteful number, since it uses less digits than its factorization.

10407989900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The spelling of 10407989900 in words is "ten billion, four hundred seven million, nine hundred eighty-nine thousand, nine hundred".