414012255344415 has 96 divisors (see below), whose sum is σ = 883231829415936. Its totient is φ = 174702948145920.

The previous prime is 414012255344383. The next prime is 414012255344459. The reversal of 414012255344415 is 514443552210414.

414012255344415 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 225 + 5 + 3 + 4 + 4 + 415 = 666.

It is not a de Polignac number, because 414012255344415 - 2⁵ = 414012255344383 is a prime.

It is a super-2 number, since 2×414012255344415² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1049723982 + ... + 1050118308.

It is an arithmetic number, because the mean of its divisors is an integer number (9200331556416).

Almost surely, 2^{414012255344415} is an apocalyptic number.

414012255344415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414012255344415 is an abundant number, since it is smaller than the sum of its proper divisors (469219574071521).

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

414012255344415 is a wasteful number, since it uses less digits than its factorization.

414012255344415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650749 (or 650746 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 414012255344415 in words is "four hundred fourteen trillion, twelve billion, two hundred fifty-five million, three hundred forty-four thousand, four hundred fifteen".