4090000640 has 144 divisors (see below), whose sum is σ = 10825678080. Its totient is φ = 1468047360.

The previous prime is 4090000639. The next prime is 4090000679. The reversal of 4090000640 is 460000904.

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, 1110482 + ... + 1114158.

It is an arithmetic number, because the mean of its divisors is an integer number (75178320).

Almost surely, 2^4090000640 is an apocalyptic number.

4090000640 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 4090000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5412839040).

4090000640 is an abundant number, since it is smaller than the sum of its proper divisors (6735677440).

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

4090000640 is a wasteful number, since it uses less digits than its factorization.

4090000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4090000640 is about 63953.1128249439. The cubic root of 4090000640 is about 1599.2184516343.

The spelling of 4090000640 in words is "four billion, ninety million, six hundred forty", and thus it is an aban number.