4090638720 has 128 divisors (see below), whose sum is σ = 14901661440. Its totient is φ = 935000064.

The previous prime is 4090638707. The next prime is 4090638751. The reversal of 4090638720 is 278360904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138742 + ... + 165621.

It is an arithmetic number, because the mean of its divisors is an integer number (116419230).

Almost surely, 2^4090638720 is an apocalyptic number.

4090638720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4090638720 is an abundant number, since it is smaller than the sum of its proper divisors (10811022720).

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

4090638720 is a wasteful number, since it uses less digits than its factorization.

4090638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304392 (or 304380 counting only the distinct ones).

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

The square root of 4090638720 is about 63958.1012851382. The cubic root of 4090638720 is about 1599.3016118698.

The spelling of 4090638720 in words is "four billion, ninety million, six hundred thirty-eight thousand, seven hundred twenty".