4104822400 has 384 divisors, whose sum is σ = 12293856000. Its totient is φ = 1324646400.

The previous prime is 4104822373. The next prime is 4104822413. The reversal of 4104822400 is 42284014.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 46121556 + ... + 46121644.

It is an arithmetic number, because the mean of its divisors is an integer number (32015250).

Almost surely, 2^4104822400 is an apocalyptic number.

4104822400 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 4104822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146928000).

4104822400 is an abundant number, since it is smaller than the sum of its proper divisors (8189033600).

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

4104822400 is a wasteful number, since it uses less digits than its factorization.

4104822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 4104822400 is about 64068.8879254198. The cubic root of 4104822400 is about 1601.1479262189.

The spelling of 4104822400 in words is "four billion, one hundred four million, eight hundred twenty-two thousand, four hundred".