4104010400 has 288 divisors, whose sum is σ = 12182970240. Its totient is φ = 1319915520.

The previous prime is 4104010387. The next prime is 4104010411. The reversal of 4104010400 is 40104014.

4104010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 6008459 + ... + 6009141.

It is an arithmetic number, because the mean of its divisors is an integer number (42301980).

Almost surely, 2^4104010400 is an apocalyptic number.

4104010400 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 4104010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091485120).

4104010400 is an abundant number, since it is smaller than the sum of its proper divisors (8078959840).

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

4104010400 is a wasteful number, since it uses less digits than its factorization.

4104010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4104010400 is about 64062.5506829068. The cubic root of 4104010400 is about 1601.0423416383.

Adding to 4104010400 its reverse (40104014), we get a palindrome (4144114414).

The spelling of 4104010400 in words is "four billion, one hundred four million, ten thousand, four hundred".