1346782578240 has 896 divisors, whose sum is σ = 4953560832000. Its totient is φ = 306985369600.

The previous prime is 1346782578199. The next prime is 1346782578263. The reversal of 1346782578240 is 428752876431.

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 127 ways as a sum of consecutive naturals, for example, 2366928676 + ... + 2366929244.

Almost surely, 2^{1346782578240} is an apocalyptic number.

1346782578240 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 1346782578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476780416000).

1346782578240 is an abundant number, since it is smaller than the sum of its proper divisors (3606778253760).

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

1346782578240 is a wasteful number, since it uses less digits than its factorization.

1346782578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 1346782578240 in words is "one trillion, three hundred forty-six billion, seven hundred eighty-two million, five hundred seventy-eight thousand, two hundred forty".