2114014214400 has 432 divisors, whose sum is σ = 7707333365760. Its totient is φ = 505997107200.

The previous prime is 2114014214383. The next prime is 2114014214449. The reversal of 2114014214400 is 44124104112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16621449 + ... + 16748151.

Almost surely, 2^{2114014214400} is an apocalyptic number.

2114014214400 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 2114014214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853666682880).

2114014214400 is an abundant number, since it is smaller than the sum of its proper divisors (5593319151360).

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

2114014214400 is a wasteful number, since it uses less digits than its factorization.

2114014214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126822 (or 126803 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2114014214400 its reverse (44124104112), we get a palindrome (2158138318512).

The spelling of 2114014214400 in words is "two trillion, one hundred fourteen billion, fourteen million, two hundred fourteen thousand, four hundred".