4381799760 has 640 divisors, whose sum is σ = 17598873600. Its totient is φ = 992839680.

The previous prime is 4381799753. The next prime is 4381799761. The reversal of 4381799760 is 679971834.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4381799697 and 4381799706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381799761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22941265 + ... + 22941455.

It is an arithmetic number, because the mean of its divisors is an integer number (27498240).

Almost surely, 2^4381799760 is an apocalyptic number.

4381799760 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 4381799760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799436800).

4381799760 is an abundant number, since it is smaller than the sum of its proper divisors (13217073840).

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

4381799760 is a wasteful number, since it uses less digits than its factorization.

4381799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4381799760 is about 66195.1641738277. The cubic root of 4381799760 is about 1636.3800485223.

The spelling of 4381799760 in words is "four billion, three hundred eighty-one million, seven hundred ninety-nine thousand, seven hundred sixty".