4104412400 has 120 divisors (see below), whose sum is σ = 11104670208. Its totient is φ = 1444320000.

The previous prime is 4104412387. The next prime is 4104412409. The reversal of 4104412400 is 42144014.

It is a happy number.

4104412400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4104412400² = 33692402298547520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104412409) 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, 121355 + ... + 151445.

Almost surely, 2^4104412400 is an apocalyptic number.

4104412400 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 4104412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552335104).

4104412400 is an abundant number, since it is smaller than the sum of its proper divisors (7000257808).

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

4104412400 is a wasteful number, since it uses less digits than its factorization.

4104412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30151 (or 30140 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4104412400 is about 64065.6881645706. The cubic root of 4104412400 is about 1601.0946155481.

Adding to 4104412400 its reverse (42144014), we get a palindrome (4146556414).

The spelling of 4104412400 in words is "four billion, one hundred four million, four hundred twelve thousand, four hundred".