4114401400 has 24 divisors (see below), whose sum is σ = 9565983720. Its totient is φ = 1645760480.

The previous prime is 4114401397. The next prime is 4114401409. The reversal of 4114401400 is 41044114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114401409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10285804 + ... + 10286203.

It is an arithmetic number, because the mean of its divisors is an integer number (398582655).

Almost surely, 2^4114401400 is an apocalyptic number.

4114401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114401400 is an abundant number, since it is smaller than the sum of its proper divisors (5451582320).

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

4114401400 is a wasteful number, since it uses less digits than its factorization.

4114401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572023 (or 20572014 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4114401400 is about 64143.5998366166. The cubic root of 4114401400 is about 1602.3924364967.

Adding to 4114401400 its reverse (41044114), we get a palindrome (4155445514).

The spelling of 4114401400 in words is "four billion, one hundred fourteen million, four hundred one thousand, four hundred".