409221238398 has 96 divisors (see below), whose sum is σ = 958615200000. Its totient is φ = 114082795008.

The previous prime is 409221238343. The next prime is 409221238399. The reversal of 409221238398 is 893832122904.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 409221238398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409221238399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96992733 + ... + 96996951.

It is an arithmetic number, because the mean of its divisors is an integer number (9985575000).

Almost surely, 2^409221238398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409221238398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479307600000).

409221238398 is an abundant number, since it is smaller than the sum of its proper divisors (549393961602).

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

409221238398 is a wasteful number, since it uses less digits than its factorization.

409221238398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 409221238398 in words is "four hundred nine billion, two hundred twenty-one million, two hundred thirty-eight thousand, three hundred ninety-eight".