409161339972 has 576 divisors, whose sum is σ = 1411458048000. Its totient is φ = 98714004480.

The previous prime is 409161339953. The next prime is 409161340001. The reversal of 409161339972 is 279933161904.

It is a happy number.

409161339972 is a `hidden beast` number, since 40 + 91 + 61 + 3 + 399 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182415883 + ... + 182418125.

It is an arithmetic number, because the mean of its divisors is an integer number (2450448000).

Almost surely, 2^409161339972 is an apocalyptic number.

409161339972 is a gapful number since it is divisible by the number (42) 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 409161339972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705729024000).

409161339972 is an abundant number, since it is smaller than the sum of its proper divisors (1002296708028).

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

409161339972 is a wasteful number, since it uses less digits than its factorization.

409161339972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 409161339972 in words is "four hundred nine billion, one hundred sixty-one million, three hundred thirty-nine thousand, nine hundred seventy-two".