4414166712 has 128 divisors (see below), whose sum is σ = 12499200000. Its totient is φ = 1443132288.

The previous prime is 4414166683. The next prime is 4414166761. The reversal of 4414166712 is 2176614144.

It is a happy number.

It is a super-2 number, since 2×4414166712² = 38969735522657781888, which 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848914 + ... + 2850462.

It is an arithmetic number, because the mean of its divisors is an integer number (97650000).

Almost surely, 2^4414166712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414166712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600000).

4414166712 is an abundant number, since it is smaller than the sum of its proper divisors (8085033288).

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

4414166712 is a wasteful number, since it uses less digits than its factorization.

4414166712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4414166712 is about 66439.1956001877. The cubic root of 4414166712 is about 1640.3993068935.

The spelling of 4414166712 in words is "four billion, four hundred fourteen million, one hundred sixty-six thousand, seven hundred twelve".