1314582861240 has 640 divisors, whose sum is σ = 5024635545600. Its totient is φ = 305425105920.

The previous prime is 1314582861211. The next prime is 1314582861247. The reversal of 1314582861240 is 421682854131.

1314582861240 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 8 + 28 + 612 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314582861247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88344121 + ... + 88358999.

It is an arithmetic number, because the mean of its divisors is an integer number (7850993040).

Almost surely, 2^{1314582861240} is an apocalyptic number.

1314582861240 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 1314582861240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512317772800).

1314582861240 is an abundant number, since it is smaller than the sum of its proper divisors (3710052684360).

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

1314582861240 is a wasteful number, since it uses less digits than its factorization.

1314582861240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15017 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1314582861240 in words is "one trillion, three hundred fourteen billion, five hundred eighty-two million, eight hundred sixty-one thousand, two hundred forty".