2114331534400 has 336 divisors, whose sum is σ = 5646337557696. Its totient is φ = 776146452480.

The previous prime is 2114331534313. The next prime is 2114331534439. The reversal of 2114331534400 is 44351334112.

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, 920474052 + ... + 920476348.

Almost surely, 2^{2114331534400} is an apocalyptic number.

2114331534400 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 2114331534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823168778848).

2114331534400 is an abundant number, since it is smaller than the sum of its proper divisors (3532006023296).

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

2114331534400 is a wasteful number, since it uses less digits than its factorization.

2114331534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 2114331534400 its reverse (44351334112), we get a palindrome (2158682868512).

The spelling of 2114331534400 in words is "two trillion, one hundred fourteen billion, three hundred thirty-one million, five hundred thirty-four thousand, four hundred".