412314125140000 has 120 divisors (see below), whose sum is σ = 1015705303861248. Its totient is φ = 164706036000000.

The previous prime is 412314125139883. The next prime is 412314125140031. The reversal of 412314125140000 is 41521413214.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1294497 + ... + 28745503.

Almost surely, 2^{412314125140000} is an apocalyptic number.

412314125140000 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 412314125140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507852651930624).

412314125140000 is an abundant number, since it is smaller than the sum of its proper divisors (603391178721248).

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

412314125140000 is an equidigital number, since it uses as much as digits as its factorization.

412314125140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27451788 (or 27451765 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 412314125140000 its reverse (41521413214), we get a palindrome (412355646553214).

The spelling of 412314125140000 in words is "four hundred twelve trillion, three hundred fourteen billion, one hundred twenty-five million, one hundred forty thousand".