1344621607560 has 1280 divisors, whose sum is σ = 6023842007040. Its totient is φ = 260420935680.

The previous prime is 1344621607519. The next prime is 1344621607603. The reversal of 1344621607560 is 657061264431.

1344621607560 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 6 + 21 + 60 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 453802639 + ... + 453805601.

It is an arithmetic number, because the mean of its divisors is an integer number (4706126568).

Almost surely, 2^{1344621607560} is an apocalyptic number.

1344621607560 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 1344621607560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011921003520).

1344621607560 is an abundant number, since it is smaller than the sum of its proper divisors (4679220399480).

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

1344621607560 is a wasteful number, since it uses less digits than its factorization.

1344621607560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1344621607560 in words is "one trillion, three hundred forty-four billion, six hundred twenty-one million, six hundred seven thousand, five hundred sixty".