4432379280 has 480 divisors, whose sum is σ = 17098905600. Its totient is φ = 944262144.

The previous prime is 4432379279. The next prime is 4432379297. The reversal of 4432379280 is 829732344.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18545401 + ... + 18545639.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^4432379280 is an apocalyptic number.

4432379280 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 4432379280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549452800).

4432379280 is an abundant number, since it is smaller than the sum of its proper divisors (12666526320).

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

4432379280 is a wasteful number, since it uses less digits than its factorization.

4432379280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 4432379280 is about 66576.1164382543. The cubic root of 4432379280 is about 1642.6522718837.

The spelling of 4432379280 in words is "four billion, four hundred thirty-two million, three hundred seventy-nine thousand, two hundred eighty".