1345234130400 has 288 divisors, whose sum is σ = 4558707161568. Its totient is φ = 344250777600.

The previous prime is 1345234130389. The next prime is 1345234130407. The reversal of 1345234130400 is 40314325431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345234130407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6378640 + ... + 6586160.

It is an arithmetic number, because the mean of its divisors is an integer number (15828844311).

Almost surely, 2^{1345234130400} is an apocalyptic number.

1345234130400 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 1345234130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279353580784).

1345234130400 is an abundant number, since it is smaller than the sum of its proper divisors (3213473031168).

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

1345234130400 is a wasteful number, since it uses less digits than its factorization.

1345234130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207654 (or 207641 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1345234130400 its reverse (40314325431), we get a palindrome (1385548455831).

The spelling of 1345234130400 in words is "one trillion, three hundred forty-five billion, two hundred thirty-four million, one hundred thirty thousand, four hundred".