1349415198720 has 168 divisors, whose sum is σ = 4677688445976. Its totient is φ = 359843954688.

The previous prime is 1349415198707. The next prime is 1349415198721. The reversal of 1349415198720 is 278915149431.

1349415198720 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 41 + 519 + 87 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349415198721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1461622 + ... + 2198901.

It is an arithmetic number, because the mean of its divisors is an integer number (27843383607).

Almost surely, 2^{1349415198720} is an apocalyptic number.

1349415198720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349415198720 is an abundant number, since it is smaller than the sum of its proper divisors (3328273247256).

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

1349415198720 is an equidigital number, since it uses as much as digits as its factorization.

1349415198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660560 (or 3660533 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1349415198720 in words is "one trillion, three hundred forty-nine billion, four hundred fifteen million, one hundred ninety-eight thousand, seven hundred twenty".