4090999680 has 384 divisors, whose sum is σ = 15337576800. Its totient is φ = 1000734720.

The previous prime is 4090999631. The next prime is 4090999729. The reversal of 4090999680 is 869990904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4090999631) and next prime (4090999729).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 4014211 + ... + 4015229.

Almost surely, 2^4090999680 is an apocalyptic number.

4090999680 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 4090999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668788400).

4090999680 is an abundant number, since it is smaller than the sum of its proper divisors (11246577120).

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

4090999680 is a wasteful number, since it uses less digits than its factorization.

4090999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 4090999680 is about 63960.9230702622. The cubic root of 4090999680 is about 1599.3486515434.

The spelling of 4090999680 in words is "four billion, ninety million, nine hundred ninety-nine thousand, six hundred eighty".