10132340114400 has 144 divisors (see below), whose sum is σ = 37692305288064. Its totient is φ = 2315963450880.

The previous prime is 10132340114207. The next prime is 10132340114411. The reversal of 10132340114400 is 441104323101.

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

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, 301540942 + ... + 301574541.

It is an arithmetic number, because the mean of its divisors is an integer number (261752120056).

Almost surely, 2^{10132340114400} is an apocalyptic number.

10132340114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132340114400 is an abundant number, since it is smaller than the sum of its proper divisors (27559965173664).

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

10132340114400 is a wasteful number, since it uses less digits than its factorization.

10132340114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603115513 (or 603115500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10132340114400 its reverse (441104323101), we get a palindrome (10573444437501).

The spelling of 10132340114400 in words is "ten trillion, one hundred thirty-two billion, three hundred forty million, one hundred fourteen thousand, four hundred".