1361346961360 has 40 divisors (see below), whose sum is σ = 3302746110720. Its totient is φ = 520863184512.

The previous prime is 1361346961339. The next prime is 1361346961411. The reversal of 1361346961360 is 631696431631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1361346961360³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369929400 + ... + 369933079.

It is an arithmetic number, because the mean of its divisors is an integer number (82568652768).

Almost surely, 2^{1361346961360} is an apocalyptic number.

1361346961360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361346961360 is an abundant number, since it is smaller than the sum of its proper divisors (1941399149360).

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

1361346961360 is a wasteful number, since it uses less digits than its factorization.

1361346961360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739862515 (or 739862509 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

The spelling of 1361346961360 in words is "one trillion, three hundred sixty-one billion, three hundred forty-six million, nine hundred sixty-one thousand, three hundred sixty".