411316838400 has 672 divisors, whose sum is σ = 1528982138880. Its totient is φ = 96801914880.

The previous prime is 411316838399. The next prime is 411316838411. The reversal of 411316838400 is 4838613114.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183704481 + ... + 183706719.

It is an arithmetic number, because the mean of its divisors is an integer number (2275271040).

Almost surely, 2^411316838400 is an apocalyptic number.

411316838400 is a gapful number since it is divisible by the number (40) 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 411316838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764491069440).

411316838400 is an abundant number, since it is smaller than the sum of its proper divisors (1117665300480).

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

411316838400 is a wasteful number, since it uses less digits than its factorization.

411316838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 411316838400 in words is "four hundred eleven billion, three hundred sixteen million, eight hundred thirty-eight thousand, four hundred".