409220997120 has 672 divisors, whose sum is σ = 1617849821952. Its totient is φ = 94787076096.

The previous prime is 409220997109. The next prime is 409220997121. The reversal of 409220997120 is 21799022904.

409220997120 is a `hidden beast` number, since 409 + 220 + 9 + 9 + 7 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409220997121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81466929 + ... + 81471951.

It is an arithmetic number, because the mean of its divisors is an integer number (2407514616).

Almost surely, 2^409220997120 is an apocalyptic number.

409220997120 is a gapful number since it is divisible by the number (40) 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 409220997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808924910976).

409220997120 is an abundant number, since it is smaller than the sum of its proper divisors (1208628824832).

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

409220997120 is a wasteful number, since it uses less digits than its factorization.

409220997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 409220997120 in words is "four hundred nine billion, two hundred twenty million, nine hundred ninety-seven thousand, one hundred twenty".