1345840742400 has 1368 divisors, whose sum is σ = 5691894552576. Its totient is φ = 277453209600.

The previous prime is 1345840742399. The next prime is 1345840742459. The reversal of 1345840742400 is 42470485431.

It is a super-2 number, since 2×1345840742400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10597171137 + ... + 10597171263.

It is an arithmetic number, because the mean of its divisors is an integer number (4160741632).

Almost surely, 2^{1345840742400} is an apocalyptic number.

1345840742400 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 1345840742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845947276288).

1345840742400 is an abundant number, since it is smaller than the sum of its proper divisors (4346053810176).

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

1345840742400 is an equidigital number, since it uses as much as digits as its factorization.

1345840742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 1345840742400 in words is "one trillion, three hundred forty-five billion, eight hundred forty million, seven hundred forty-two thousand, four hundred".