415344112011 has 48 divisors (see below), whose sum is σ = 627736262400. Its totient is φ = 264296862144.

The previous prime is 415344112003. The next prime is 415344112093. The reversal of 415344112011 is 110211443514.

It is a happy number.

415344112011 is a `hidden beast` number, since 4 + 1 + 534 + 4 + 1 + 120 + 1 + 1 = 666.

It is not a de Polignac number, because 415344112011 - 2³ = 415344112003 is a prime.

It is a super-2 number, since 2×415344112011² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415344114011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13585180 + ... + 13615718.

It is an arithmetic number, because the mean of its divisors is an integer number (13077838800).

Almost surely, 2^415344112011 is an apocalyptic number.

415344112011 is a deficient number, since it is larger than the sum of its proper divisors (212392150389).

415344112011 is a wasteful number, since it uses less digits than its factorization.

415344112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31168 (or 31165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 415344112011 its reverse (110211443514), we get a palindrome (525555555525).

It can be divided in two parts, 4153 and 44112011, that added together give a square (44116164 = 6642²).

The spelling of 415344112011 in words is "four hundred fifteen billion, three hundred forty-four million, one hundred twelve thousand, eleven".