412343404011400 has 192 divisors, whose sum is σ = 1013836860288000. Its totient is φ = 155712109056000.

The previous prime is 412343404011367. The next prime is 412343404011401. The reversal of 412343404011400 is 4110404343214.

It is a super-2 number, since 2×412343404011400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (412343404011401) 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, 3910305876 + ... + 3910411324.

It is an arithmetic number, because the mean of its divisors is an integer number (5280400314000).

Almost surely, 2^{412343404011400} is an apocalyptic number.

412343404011400 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 412343404011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506918430144000).

412343404011400 is an abundant number, since it is smaller than the sum of its proper divisors (601493456276600).

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

412343404011400 is a wasteful number, since it uses less digits than its factorization.

412343404011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120920 (or 120911 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 412343404011400 its reverse (4110404343214), we get a palindrome (416453808354614).

The spelling of 412343404011400 in words is "four hundred twelve trillion, three hundred forty-three billion, four hundred four million, eleven thousand, four hundred".