2114001414200 has 96 divisors (see below), whose sum is σ = 5310156065760. Its totient is φ = 778044249600.

The previous prime is 2114001414191. The next prime is 2114001414271. The reversal of 2114001414200 is 24141004112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 498599 + ... + 2115798.

It is an arithmetic number, because the mean of its divisors is an integer number (55314125685).

Almost surely, 2^{2114001414200} is an apocalyptic number.

2114001414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114001414200 is an abundant number, since it is smaller than the sum of its proper divisors (3196154651560).

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

2114001414200 is a wasteful number, since it uses less digits than its factorization.

2114001414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614737 (or 2614728 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2114001414200 its reverse (24141004112), we get a palindrome (2138142418312).

The spelling of 2114001414200 in words is "two trillion, one hundred fourteen billion, one million, four hundred fourteen thousand, two hundred".