4101200400 has 120 divisors (see below), whose sum is σ = 14331877344. Its totient is φ = 994227200.

The previous prime is 4101200393. The next prime is 4101200419. The reversal of 4101200400 is 40021014.

It is a tau number, because it is divible by the number of its divisors (120).

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, 142149 + ... + 168548.

Almost surely, 2^4101200400 is an apocalyptic number.

4101200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101200400 is an abundant number, since it is smaller than the sum of its proper divisors (10230676944).

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

4101200400 is a wasteful number, since it uses less digits than its factorization.

4101200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310729 (or 310718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4101200400 is about 64040.6152375194. The cubic root of 4101200400 is about 1600.6768490484.

Adding to 4101200400 its reverse (40021014), we get a palindrome (4141221414).

The spelling of 4101200400 in words is "four billion, one hundred one million, two hundred thousand, four hundred".