4104306400 has 144 divisors (see below), whose sum is σ = 10346619024. Its totient is φ = 1588654080.

The previous prime is 4104306391. The next prime is 4104306419. The reversal of 4104306400 is 46034014.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9264579 + ... + 9265021.

It is an arithmetic number, because the mean of its divisors is an integer number (71851521).

Almost surely, 2^4104306400 is an apocalyptic number.

4104306400 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 4104306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173309512).

4104306400 is an abundant number, since it is smaller than the sum of its proper divisors (6242312624).

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

4104306400 is a wasteful number, since it uses less digits than its factorization.

4104306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4104306400 is about 64064.8608833267. The cubic root of 4104306400 is about 1601.0808322117.

The spelling of 4104306400 in words is "four billion, one hundred four million, three hundred six thousand, four hundred".