4412314368 has 972 divisors, whose sum is σ = 18129809880. Its totient is φ = 1021870080.

The previous prime is 4412314367. The next prime is 4412314373. The reversal of 4412314368 is 8634132144.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412314367) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 232227063 + ... + 232227081.

Almost surely, 2^4412314368 is an apocalyptic number.

4412314368 is a gapful number since it is divisible by the number (48) 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 4412314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9064904940).

4412314368 is an abundant number, since it is smaller than the sum of its proper divisors (13717495512).

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

4412314368 is a wasteful number, since it uses less digits than its factorization.

4412314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4412314368 is about 66425.2539927398. The cubic root of 4412314368 is about 1640.1698178306.

The spelling of 4412314368 in words is "four billion, four hundred twelve million, three hundred fourteen thousand, three hundred sixty-eight".