4090944720 has 80 divisors (see below), whose sum is σ = 13349413440. Its totient is φ = 1033500672.

The previous prime is 4090944713. The next prime is 4090944757. The reversal of 4090944720 is 274490904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444009 + ... + 453128.

It is an arithmetic number, because the mean of its divisors is an integer number (166867668).

Almost surely, 2^4090944720 is an apocalyptic number.

4090944720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4090944720 is an abundant number, since it is smaller than the sum of its proper divisors (9258468720).

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

4090944720 is a wasteful number, since it uses less digits than its factorization.

4090944720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897172 (or 897166 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4090944720 is about 63960.4934314925. The cubic root of 4090944720 is about 1599.3414894312.

The spelling of 4090944720 in words is "four billion, ninety million, nine hundred forty-four thousand, seven hundred twenty".