1346583743440 has 160 divisors (see below), whose sum is σ = 3520599667200. Its totient is φ = 475262650368.

The previous prime is 1346583743363. The next prime is 1346583743471. The reversal of 1346583743440 is 443473856431.

It is a Harshad number since it is a multiple of its sum of digits (52).

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 31 ways as a sum of consecutive naturals, for example, 37033909 + ... + 37070251.

It is an arithmetic number, because the mean of its divisors is an integer number (22003747920).

Almost surely, 2^{1346583743440} is an apocalyptic number.

1346583743440 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 1346583743440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760299833600).

1346583743440 is an abundant number, since it is smaller than the sum of its proper divisors (2174015923760).

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

1346583743440 is a wasteful number, since it uses less digits than its factorization.

1346583743440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37941 (or 37935 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 52.

The spelling of 1346583743440 in words is "one trillion, three hundred forty-six billion, five hundred eighty-three million, seven hundred forty-three thousand, four hundred forty".