2114334114400 has 144 divisors (see below), whose sum is σ = 5304942586944. Its totient is φ = 822423329280.

The previous prime is 2114334114383. The next prime is 2114334114413. The reversal of 2114334114400 is 44114334112.

It is a congruent number.

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, 7673419 + ... + 7944181.

It is an arithmetic number, because the mean of its divisors is an integer number (36839879076).

Almost surely, 2^{2114334114400} is an apocalyptic number.

2114334114400 is a gapful number since it is divisible by the number (20) 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 2114334114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652471293472).

2114334114400 is an abundant number, since it is smaller than the sum of its proper divisors (3190608472544).

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

2114334114400 is a wasteful number, since it uses less digits than its factorization.

2114334114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271053 (or 271040 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2114334114400 its reverse (44114334112), we get a palindrome (2158448448512).

The spelling of 2114334114400 in words is "two trillion, one hundred fourteen billion, three hundred thirty-four million, one hundred fourteen thousand, four hundred".