414180376413 has 16 divisors (see below), whose sum is σ = 554155501440. Its totient is φ = 275164130304.

The previous prime is 414180376397. The next prime is 414180376471. The reversal of 414180376413 is 314673081414.

It is not a de Polignac number, because 414180376413 - 2⁴ = 414180376397 is a prime.

It is a super-2 number, since 2×414180376413² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414180376483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034445 + ... + 1377837.

It is an arithmetic number, because the mean of its divisors is an integer number (34634718840).

Almost surely, 2^414180376413 is an apocalyptic number.

It is an amenable number.

414180376413 is a deficient number, since it is larger than the sum of its proper divisors (139975125027).

414180376413 is a wasteful number, since it uses less digits than its factorization.

414180376413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344788.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 414180376413 in words is "four hundred fourteen billion, one hundred eighty million, three hundred seventy-six thousand, four hundred thirteen".