4001099440 has 80 divisors (see below), whose sum is σ = 10097353728. Its totient is φ = 1465648128.

The previous prime is 4001099341. The next prime is 4001099441. The reversal of 4001099440 is 449901004.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4001099441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116934 + ... + 147226.

Almost surely, 2^4001099440 is an apocalyptic number.

4001099440 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 4001099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048676864).

4001099440 is an abundant number, since it is smaller than the sum of its proper divisors (6096254288).

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

4001099440 is a wasteful number, since it uses less digits than its factorization.

4001099440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30446 (or 30440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4001099440 is about 63254.2444425669. The cubic root of 4001099440 is about 1587.5464763296.

The spelling of 4001099440 in words is "four billion, one million, ninety-nine thousand, four hundred forty".