2014200234400 has 144 divisors (see below), whose sum is σ = 4954122915840. Its totient is φ = 799634304000.

The previous prime is 2014200234383. The next prime is 2014200234509. The reversal of 2014200234400 is 44320024102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148456417 + ... + 148469983.

It is an arithmetic number, because the mean of its divisors is an integer number (34403631360).

Almost surely, 2^{2014200234400} is an apocalyptic number.

2014200234400 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 2014200234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477061457920).

2014200234400 is an abundant number, since it is smaller than the sum of its proper divisors (2939922681440).

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

2014200234400 is a wasteful number, since it uses less digits than its factorization.

2014200234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14967 (or 14954 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2014200234400 its reverse (44320024102), we get a palindrome (2058520258502).

The spelling of 2014200234400 in words is "two trillion, fourteen billion, two hundred million, two hundred thirty-four thousand, four hundred".