1345114134400 has 96 divisors (see below), whose sum is σ = 3328931276280. Its totient is φ = 537061324800.

The previous prime is 1345114134347. The next prime is 1345114134407. The reversal of 1345114134400 is 44314115431.

It is a super-2 number, since 2×1345114134400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345114134407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1366170 + ... + 2134630.

Almost surely, 2^{1345114134400} is an apocalyptic number.

1345114134400 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 1345114134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664465638140).

1345114134400 is an abundant number, since it is smaller than the sum of its proper divisors (1983817141880).

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

1345114134400 is an equidigital number, since it uses as much as digits as its factorization.

1345114134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769032 (or 769015 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 1345114134400 its reverse (44314115431), we get a palindrome (1389428249831).

The spelling of 1345114134400 in words is "one trillion, three hundred forty-five billion, one hundred fourteen million, one hundred thirty-four thousand, four hundred".