412415141200000 has 96 divisors (see below), whose sum is σ = 1026944633719620. Its totient is φ = 164966056320000.

The previous prime is 412415141199991. The next prime is 412415141200001. The reversal of 412415141200000 is 2141514214.

It can be written as a sum of positive squares in 6 ways, for example, as 14227802944576 + 398187338255424 = 3771976^2 + 19954632^2 .

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

It is not an unprimeable number, because it can be changed into a prime (412415141200001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515118927 + ... + 515918926.

Almost surely, 2^{412415141200000} is an apocalyptic number.

412415141200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412415141200000 is an abundant number, since it is smaller than the sum of its proper divisors (614529492519620).

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

412415141200000 is an frugal number, since it uses more digits than its factorization.

412415141200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031037892 (or 1031037860 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 412415141200000 its reverse (2141514214), we get a palindrome (412417282714214).

The spelling of 412415141200000 in words is "four hundred twelve trillion, four hundred fifteen billion, one hundred forty-one million, two hundred thousand".