1345349907720 has 2560 divisors, whose sum is σ = 6194803507200. Its totient is φ = 253957939200.

The previous prime is 1345349907709. The next prime is 1345349907761. The reversal of 1345349907720 is 277099435431.

1345349907720 is a `hidden beast` number, since 1 + 34 + 53 + 499 + 0 + 7 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 639 ways as a sum of consecutive naturals, for example, 10593306297 + ... + 10593306423.

It is an arithmetic number, because the mean of its divisors is an integer number (2419845120).

Almost surely, 2^{1345349907720} is an apocalyptic number.

1345349907720 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 1345349907720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097401753600).

1345349907720 is an abundant number, since it is smaller than the sum of its proper divisors (4849453599480).

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

1345349907720 is a wasteful number, since it uses less digits than its factorization.

1345349907720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 1345349907720 in words is "one trillion, three hundred forty-five billion, three hundred forty-nine million, nine hundred seven thousand, seven hundred twenty".