1346095406880 has 768 divisors, whose sum is σ = 5567395921920. Its totient is φ = 297254707200.

The previous prime is 1346095406783. The next prime is 1346095406927. The reversal of 1346095406880 is 886045906431.

1346095406880 is a `hidden beast` number, since 1 + 3 + 460 + 9 + 5 + 40 + 68 + 80 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1018996620 + ... + 1018997940.

It is an arithmetic number, because the mean of its divisors is an integer number (7249213440).

Almost surely, 2^{1346095406880} is an apocalyptic number.

1346095406880 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 1346095406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783697960960).

1346095406880 is an abundant number, since it is smaller than the sum of its proper divisors (4221300515040).

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

1346095406880 is a wasteful number, since it uses less digits than its factorization.

1346095406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1346095406880 in words is "one trillion, three hundred forty-six billion, ninety-five million, four hundred six thousand, eight hundred eighty".