4366411920 has 400 divisors, whose sum is σ = 17298111600. Its totient is φ = 1011253248.

The previous prime is 4366411913. The next prime is 4366411949. The reversal of 4366411920 is 291146634.

4366411920 is a `hidden beast` number, since 4 + 3 + 6 + 641 + 1 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 496576656 + 3869835264 = 22284^2 + 62208^2 .

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 79 ways as a sum of consecutive naturals, for example, 1430556 + ... + 1433604.

It is an arithmetic number, because the mean of its divisors is an integer number (43245279).

Almost surely, 2^4366411920 is an apocalyptic number.

4366411920 is a gapful number since it is divisible by the number (40) 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 4366411920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649055800).

4366411920 is an abundant number, since it is smaller than the sum of its proper divisors (12931699680).

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

4366411920 is a wasteful number, since it uses less digits than its factorization.

4366411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4366411920 is about 66078.8311034631. The cubic root of 4366411920 is about 1634.4622758264.

The spelling of 4366411920 in words is "four billion, three hundred sixty-six million, four hundred eleven thousand, nine hundred twenty".