4000909600 has 144 divisors (see below), whose sum is σ = 10431832320. Its totient is φ = 1495065600.

The previous prime is 4000909589. The next prime is 4000909607. The reversal of 4000909600 is 69090004.

It is not an unprimeable number, because it can be changed into a prime (4000909607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716419 + ... + 721981.

It is an arithmetic number, because the mean of its divisors is an integer number (72443280).

Almost surely, 2^4000909600 is an apocalyptic number.

4000909600 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 4000909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215916160).

4000909600 is an abundant number, since it is smaller than the sum of its proper divisors (6430922720).

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

4000909600 is a wasteful number, since it uses less digits than its factorization.

4000909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 4000909600 is about 63252.7438140038. The cubic root of 4000909600 is about 1587.5213678485.

Adding to 4000909600 its reverse (69090004), we get a palindrome (4069999604).

The spelling of 4000909600 in words is "four billion, nine hundred nine thousand, six hundred".