4096328880 has 320 divisors, whose sum is σ = 15209026560. Its totient is φ = 892243968.

The previous prime is 4096328869. The next prime is 4096328893. The reversal of 4096328880 is 888236904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4043254 + ... + 4044266.

It is an arithmetic number, because the mean of its divisors is an integer number (47528208).

Almost surely, 2^4096328880 is an apocalyptic number.

4096328880 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 4096328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604513280).

4096328880 is an abundant number, since it is smaller than the sum of its proper divisors (11112697680).

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

4096328880 is a wasteful number, since it uses less digits than its factorization.

4096328880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 4096328880 is about 64002.5693234264. The cubic root of 4096328880 is about 1600.0428217706.

The spelling of 4096328880 in words is "four billion, ninety-six million, three hundred twenty-eight thousand, eight hundred eighty".