1340431112400 has 120 divisors (see below), whose sum is σ = 4304097124320. Its totient is φ = 356595064320.

The previous prime is 1340431112399. The next prime is 1340431112407. The reversal of 1340431112400 is 42111340431.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340431112407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830167 + ... + 1835766.

It is an arithmetic number, because the mean of its divisors is an integer number (35867476036).

Almost surely, 2^{1340431112400} is an apocalyptic number.

1340431112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340431112400 is an abundant number, since it is smaller than the sum of its proper divisors (2963666011920).

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

1340431112400 is a wasteful number, since it uses less digits than its factorization.

1340431112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666373 (or 2666362 counting only the distinct ones).

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

Adding to 1340431112400 its reverse (42111340431), we get a palindrome (1382542452831).

The spelling of 1340431112400 in words is "one trillion, three hundred forty billion, four hundred thirty-one million, one hundred twelve thousand, four hundred".