410123113122400 has 288 divisors, whose sum is σ = 1095501979823328. Its totient is φ = 149315432448000.

The previous prime is 410123113122397. The next prime is 410123113122407. The reversal of 410123113122400 is 4221311321014.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410123113122407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55592994 + ... + 62536606.

It is an arithmetic number, because the mean of its divisors is an integer number (3803826318831).

Almost surely, 2^{410123113122400} is an apocalyptic number.

410123113122400 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 410123113122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547750989911664).

410123113122400 is an abundant number, since it is smaller than the sum of its proper divisors (685378866700928).

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

410123113122400 is a wasteful number, since it uses less digits than its factorization.

410123113122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943794 (or 6943781 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 410123113122400 its reverse (4221311321014), we get a palindrome (414344424443414).

The spelling of 410123113122400 in words is "four hundred ten trillion, one hundred twenty-three billion, one hundred thirteen million, one hundred twenty-two thousand, four hundred".