409198981120 has 104 divisors (see below), whose sum is σ = 1033640637840. Its totient is φ = 155064729600.

The previous prime is 409198981069. The next prime is 409198981133. The reversal of 409198981120 is 21189891904.

It is a super-2 number, since 2×409198981120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136681 + ... + 914920.

Almost surely, 2^409198981120 is an apocalyptic number.

409198981120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409198981120 is an abundant number, since it is smaller than the sum of its proper divisors (624441656720).

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

409198981120 is a wasteful number, since it uses less digits than its factorization.

409198981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051649 (or 1051627 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 52.

The spelling of 409198981120 in words is "four hundred nine billion, one hundred ninety-eight million, nine hundred eighty-one thousand, one hundred twenty".