415195041312 has 72 divisors (see below), whose sum is σ = 1202988507084. Its totient is φ = 135787052544.

The previous prime is 415195041227. The next prime is 415195041319. The reversal of 415195041312 is 213140591514.

415195041312 is a `hidden beast` number, since 4 + 1 + 5 + 19 + 504 + 131 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 391280274576 + 23914766736 = 625524^2 + 154644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (415195041319) 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, 13585203 + ... + 13615730.

Almost surely, 2^415195041312 is an apocalyptic number.

It is an amenable number.

415195041312 is an abundant number, since it is smaller than the sum of its proper divisors (787793465772).

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

415195041312 is a wasteful number, since it uses less digits than its factorization.

415195041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27201002 (or 27200991 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 415195041312 in words is "four hundred fifteen billion, one hundred ninety-five million, forty-one thousand, three hundred twelve".