4090798080 has 392 divisors, whose sum is σ = 14826680532. Its totient is φ = 1082916864.

The previous prime is 4090798031. The next prime is 4090798091. The reversal of 4090798080 is 808970904.

It can be written as a sum of positive squares in 2 ways, for example, as 4087812096 + 2985984 = 63936^2 + 1728^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859772 + ... + 29859908.

Almost surely, 2^4090798080 is an apocalyptic number.

4090798080 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 4090798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413340266).

4090798080 is an abundant number, since it is smaller than the sum of its proper divisors (10735882452).

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

4090798080 is an frugal number, since it uses more digits than its factorization.

4090798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4090798080 is about 63959.3470886000. The cubic root of 4090798080 is about 1599.3223797264.

The spelling of 4090798080 in words is "four billion, ninety million, seven hundred ninety-eight thousand, eighty".