13400214234000 has 320 divisors, whose sum is σ = 47237230909440. Its totient is φ = 3241129920000.

The previous prime is 13400214233993. The next prime is 13400214234019. The reversal of 13400214234000 is 43241200431.

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 63 ways as a sum of consecutive naturals, for example, 28742755 + ... + 29205245.

It is an arithmetic number, because the mean of its divisors is an integer number (147616346592).

Almost surely, 2^{13400214234000} is an apocalyptic number.

13400214234000 is a gapful number since it is divisible by the number (10) 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 13400214234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618615454720).

13400214234000 is an abundant number, since it is smaller than the sum of its proper divisors (33837016675440).

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

13400214234000 is a wasteful number, since it uses less digits than its factorization.

13400214234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462967 (or 462951 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13400214234000 its reverse (43241200431), we get a palindrome (13443455434431).

The spelling of 13400214234000 in words is "thirteen trillion, four hundred billion, two hundred fourteen million, two hundred thirty-four thousand".