4088996640 has 240 divisors, whose sum is σ = 14705498808. Its totient is φ = 1069645824.

The previous prime is 4088996633. The next prime is 4088996671. The reversal of 4088996640 is 466998804.

It can be written as a sum of positive squares in 4 ways, for example, as 2407668624 + 1681328016 = 49068^2 + 41004^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 683904 + ... + 689856.

Almost surely, 2^4088996640 is an apocalyptic number.

4088996640 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 4088996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352749404).

4088996640 is an abundant number, since it is smaller than the sum of its proper divisors (10616502168).

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

4088996640 is a wasteful number, since it uses less digits than its factorization.

4088996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4088996640 is about 63945.2628425281. The cubic root of 4088996640 is about 1599.0875839512.

The spelling of 4088996640 in words is "four billion, eighty-eight million, nine hundred ninety-six thousand, six hundred forty".