412314100000 has 576 divisors, whose sum is σ = 1184954158080. Its totient is φ = 139708800000.

The previous prime is 412314099929. The next prime is 412314100019. The reversal of 412314100000 is 1413214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1087899811 + ... + 1087900189.

It is an arithmetic number, because the mean of its divisors is an integer number (2057212080).

Almost surely, 2^412314100000 is an apocalyptic number.

412314100000 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 412314100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592477079040).

412314100000 is an abundant number, since it is smaller than the sum of its proper divisors (772640058080).

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

412314100000 is a wasteful number, since it uses less digits than its factorization.

412314100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 412314100000 its reverse (1413214), we get a palindrome (412315513214).

The spelling of 412314100000 in words is "four hundred twelve billion, three hundred fourteen million, one hundred thousand".