1314849061040 has 320 divisors, whose sum is σ = 3523145932800. Its totient is φ = 453637324800.

The previous prime is 1314849060949. The next prime is 1314849061049. The reversal of 1314849061040 is 401609484131.

It is not an unprimeable number, because it can be changed into a prime (1314849061049) 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 63 ways as a sum of consecutive naturals, for example, 66099416 + ... + 66119304.

It is an arithmetic number, because the mean of its divisors is an integer number (11009831040).

Almost surely, 2^{1314849061040} is an apocalyptic number.

1314849061040 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 1314849061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761572966400).

1314849061040 is an abundant number, since it is smaller than the sum of its proper divisors (2208296871760).

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

1314849061040 is a wasteful number, since it uses less digits than its factorization.

1314849061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036 (or 20030 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 1314849061040 in words is "one trillion, three hundred fourteen billion, eight hundred forty-nine million, sixty-one thousand, forty".