4090959936 has 336 divisors, whose sum is σ = 14121993600. Its totient is φ = 1107542016.

The previous prime is 4090959913. The next prime is 4090959949. The reversal of 4090959936 is 6399590904.

4090959936 is a `hidden beast` number, since 40 + 9 + 0 + 9 + 599 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6898456 + ... + 6899048.

Almost surely, 2^4090959936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060996800).

4090959936 is an abundant number, since it is smaller than the sum of its proper divisors (10031033664).

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

4090959936 is a wasteful number, since it uses less digits than its factorization.

4090959936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 4090959936 is about 63960.6123798076. The cubic root of 4090959936 is about 1599.3434723106.

The spelling of 4090959936 in words is "four billion, ninety million, nine hundred fifty-nine thousand, nine hundred thirty-six".