4114323202400 has 288 divisors, whose sum is σ = 10377723470688. Its totient is φ = 1591817011200.

The previous prime is 4114323202387. The next prime is 4114323202469. The reversal of 4114323202400 is 42023234114.

It is a self number, because there is not a number n which added to its sum of digits gives 4114323202400.

It is a congruent number.

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, 2196647864 + ... + 2196649736.

It is an arithmetic number, because the mean of its divisors is an integer number (36033762051).

Almost surely, 2^{4114323202400} is an apocalyptic number.

4114323202400 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 4114323202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188861735344).

4114323202400 is an abundant number, since it is smaller than the sum of its proper divisors (6263400268288).

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

4114323202400 is a wasteful number, since it uses less digits than its factorization.

4114323202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4114323202400 its reverse (42023234114), we get a palindrome (4156346436514).

The spelling of 4114323202400 in words is "four trillion, one hundred fourteen billion, three hundred twenty-three million, two hundred two thousand, four hundred".