2114210432400 has 240 divisors, whose sum is σ = 7404046610688. Its totient is φ = 511436864000.

The previous prime is 2114210432371. The next prime is 2114210432429. The reversal of 2114210432400 is 42340124112.

It is an interprime number because it is at equal distance from previous prime (2114210432371) and next prime (2114210432429).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 5992915 + ... + 6335885.

Almost surely, 2^{2114210432400} is an apocalyptic number.

2114210432400 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 2114210432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702023305344).

2114210432400 is an abundant number, since it is smaller than the sum of its proper divisors (5289836178288).

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

2114210432400 is a wasteful number, since it uses less digits than its factorization.

2114210432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343470 (or 343459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2114210432400 its reverse (42340124112), we get a palindrome (2156550556512).

The spelling of 2114210432400 in words is "two trillion, one hundred fourteen billion, two hundred ten million, four hundred thirty-two thousand, four hundred".