4139482320 has 400 divisors, whose sum is σ = 15531840720. Its totient is φ = 1017888768.

The previous prime is 4139482309. The next prime is 4139482327. The reversal of 4139482320 is 232849314.

4139482320 is a `hidden beast` number, since 413 + 9 + 4 + 8 + 232 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 876096 + 4138606224 = 936^2 + 64332^2 .

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 (4139482327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5838126 + ... + 5838834.

Almost surely, 2^4139482320 is an apocalyptic number.

4139482320 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 4139482320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765920360).

4139482320 is an abundant number, since it is smaller than the sum of its proper divisors (11392358400).

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

4139482320 is a wasteful number, since it uses less digits than its factorization.

4139482320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4139482320 is about 64338.8088170740. The cubic root of 4139482320 is about 1605.6418430380.

The spelling of 4139482320 in words is "four billion, one hundred thirty-nine million, four hundred eighty-two thousand, three hundred twenty".