414011861172 has 192 divisors, whose sum is σ = 1322766807040. Its totient is φ = 109049162112.

The previous prime is 414011861167. The next prime is 414011861177. The reversal of 414011861172 is 271168110414.

It is a happy number.

414011861172 is a `hidden beast` number, since 4 + 1 + 401 + 1 + 86 + 1 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (414011861167) and next prime (414011861177).

It is a super-2 number, since 2×414011861172² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414011861177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7707873 + ... + 7761399.

Almost surely, 2^414011861172 is an apocalyptic number.

414011861172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414011861172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661383403520).

414011861172 is an abundant number, since it is smaller than the sum of its proper divisors (908754945868).

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

414011861172 is a wasteful number, since it uses less digits than its factorization.

414011861172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54347 (or 54339 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 414011861172 its reverse (271168110414), we get a palindrome (685179971586).

The spelling of 414011861172 in words is "four hundred fourteen billion, eleven million, eight hundred sixty-one thousand, one hundred seventy-two".