4407158880 has 288 divisors, whose sum is σ = 16316209728. Its totient is φ = 1078886400.

The previous prime is 4407158849. The next prime is 4407158887. The reversal of 4407158880 is 888517044.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407158887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001485 + ... + 1005875.

It is an arithmetic number, because the mean of its divisors is an integer number (56653506).

Almost surely, 2^4407158880 is an apocalyptic number.

4407158880 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 4407158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158104864).

4407158880 is an abundant number, since it is smaller than the sum of its proper divisors (11909050848).

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

4407158880 is a wasteful number, since it uses less digits than its factorization.

4407158880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 4407158880 is about 66386.4359639829. The cubic root of 4407158880 is about 1639.5307600619.

The spelling of 4407158880 in words is "four billion, four hundred seven million, one hundred fifty-eight thousand, eight hundred eighty".