409476041856 has 1152 divisors, whose sum is σ = 1533713126400. Its totient is φ = 106218915840.

The previous prime is 409476041839. The next prime is 409476041857. The reversal of 409476041856 is 658140674904.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (409476041857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3975495501 + ... + 3975495603.

It is an arithmetic number, because the mean of its divisors is an integer number (1331348200).

Almost surely, 2^409476041856 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 409476041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766856563200).

409476041856 is an abundant number, since it is smaller than the sum of its proper divisors (1124237084544).

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

409476041856 is a wasteful number, since it uses less digits than its factorization.

409476041856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 409476041856 in words is "four hundred nine billion, four hundred seventy-six million, forty-one thousand, eight hundred fifty-six".