4040103680 has 144 divisors (see below), whose sum is σ = 10101611520. Its totient is φ = 1546223616.

The previous prime is 4040103679. The next prime is 4040103707. The reversal of 4040103680 is 863010404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4713812 + ... + 4714668.

It is an arithmetic number, because the mean of its divisors is an integer number (70150080).

Almost surely, 2^4040103680 is an apocalyptic number.

4040103680 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 4040103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050805760).

4040103680 is an abundant number, since it is smaller than the sum of its proper divisors (6061507840).

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

4040103680 is a wasteful number, since it uses less digits than its factorization.

4040103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4040103680 is about 63561.8099175912. The cubic root of 4040103680 is about 1592.6884727073.

The spelling of 4040103680 in words is "four billion, forty million, one hundred three thousand, six hundred eighty".