1344450960000 has 560 divisors, whose sum is σ = 5018312071410. Its totient is φ = 358504704000.

The previous prime is 1344450959987. The next prime is 1344450960023. The reversal of 1344450960000 is 690544431.

1344450960000 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 45 + 0 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 81416632896 + 1263034327104 = 285336^2 + 1123848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58308474 + ... + 58331526.

Almost surely, 2^{1344450960000} is an apocalyptic number.

1344450960000 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 1344450960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509156035705).

1344450960000 is an abundant number, since it is smaller than the sum of its proper divisors (3673861111410).

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

1344450960000 is an frugal number, since it uses more digits than its factorization.

1344450960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23105 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1344450960000 in words is "one trillion, three hundred forty-four billion, four hundred fifty million, nine hundred sixty thousand".