409947418944 has 252 divisors, whose sum is σ = 1370724919200. Its totient is φ = 116798685696.

The previous prime is 409947418921. The next prime is 409947418957. The reversal of 409947418944 is 449814749904.

409947418944 is a `hidden beast` number, since 4 + 0 + 99 + 47 + 418 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×409947418944³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10112187 + ... + 10152645.

It is an arithmetic number, because the mean of its divisors is an integer number (5439384600).

Almost surely, 2^409947418944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409947418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685362459600).

409947418944 is an abundant number, since it is smaller than the sum of its proper divisors (960777500256).

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

409947418944 is a wasteful number, since it uses less digits than its factorization.

409947418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40850 (or 40830 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 409947418944 in words is "four hundred nine billion, nine hundred forty-seven million, four hundred eighteen thousand, nine hundred forty-four".