4040104320 has 384 divisors, whose sum is σ = 16123947840. Its totient is φ = 913047552.

The previous prime is 4040104309. The next prime is 4040104373. The reversal of 4040104320 is 234010404.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4040104293 and 4040104302.

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, 3910524 + ... + 3911556.

Almost surely, 2^4040104320 is an apocalyptic number.

4040104320 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 4040104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061973920).

4040104320 is an abundant number, since it is smaller than the sum of its proper divisors (12083843520).

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

4040104320 is a wasteful number, since it uses less digits than its factorization.

4040104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4040104320 is about 63561.8149520606. The cubic root of 4040104320 is about 1592.6885568075.

Adding to 4040104320 its reverse (234010404), we get a palindrome (4274114724).

The spelling of 4040104320 in words is "four billion, forty million, one hundred four thousand, three hundred twenty".