4101110400 has 192 divisors, whose sum is σ = 13974775200. Its totient is φ = 1055846400.

The previous prime is 4101110399. The next prime is 4101110467. The reversal of 4101110400 is 40111014.

4101110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271035 + ... + 285765.

Almost surely, 2^4101110400 is an apocalyptic number.

4101110400 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 4101110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987387600).

4101110400 is an abundant number, since it is smaller than the sum of its proper divisors (9873664800).

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

4101110400 is a wasteful number, since it uses less digits than its factorization.

4101110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4101110400 is about 64039.9125545936. The cubic root of 4101110400 is about 1600.6651401212.

Adding to 4101110400 its reverse (40111014), we get a palindrome (4141221414).

The spelling of 4101110400 in words is "four billion, one hundred one million, one hundred ten thousand, four hundred".