409981974336 has 420 divisors, whose sum is σ = 1386049799904. Its totient is φ = 118826611200.

The previous prime is 409981974323. The next prime is 409981974343. The reversal of 409981974336 is 633479189904.

409981974336 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 8 + 197 + 433 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30158901 + ... + 30172491.

Almost surely, 2^409981974336 is an apocalyptic number.

409981974336 is a gapful number since it is divisible by the number (46) 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 409981974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693024899952).

409981974336 is an abundant number, since it is smaller than the sum of its proper divisors (976067825568).

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

409981974336 is a wasteful number, since it uses less digits than its factorization.

409981974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13672 (or 13630 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 409981974336 in words is "four hundred nine billion, nine hundred eighty-one million, nine hundred seventy-four thousand, three hundred thirty-six".