4100121400 has 48 divisors (see below), whose sum is σ = 9542358000. Its totient is φ = 1638401280.

The previous prime is 4100121391. The next prime is 4100121433. The reversal of 4100121400 is 41210014.

4100121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200029 + ... + 219571.

It is an arithmetic number, because the mean of its divisors is an integer number (198799125).

Almost surely, 2^4100121400 is an apocalyptic number.

4100121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100121400 is an abundant number, since it is smaller than the sum of its proper divisors (5442236600).

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

4100121400 is a wasteful number, since it uses less digits than its factorization.

4100121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20608 (or 20599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4100121400 is about 64032.1903420459. The cubic root of 4100121400 is about 1600.5364607361.

Adding to 4100121400 its reverse (41210014), we get a palindrome (4141331414).

The spelling of 4100121400 in words is "four billion, one hundred million, one hundred twenty-one thousand, four hundred".