4379120640 has 396 divisors, whose sum is σ = 15853875804. Its totient is φ = 1117519872.

The previous prime is 4379120621. The next prime is 4379120651. The reversal of 4379120640 is 460219734.

4379120640 is a `hidden beast` number, since 4 + 3 + 7 + 9 + 1 + 2 + 0 + 640 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 580617216 + 3798503424 = 24096^2 + 61632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4379120595 and 4379120604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38753224 + ... + 38753336.

Almost surely, 2^4379120640 is an apocalyptic number.

4379120640 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 4379120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926937902).

4379120640 is an abundant number, since it is smaller than the sum of its proper divisors (11474755164).

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

4379120640 is a wasteful number, since it uses less digits than its factorization.

4379120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4379120640 is about 66174.9245560582. The cubic root of 4379120640 is about 1636.0464753667.

The spelling of 4379120640 in words is "four billion, three hundred seventy-nine million, one hundred twenty thousand, six hundred forty".