1311621457740 has 192 divisors, whose sum is σ = 4050054328320. Its totient is φ = 314520544000.

The previous prime is 1311621457739. The next prime is 1311621457759. The reversal of 1311621457740 is 477541261131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311621457692 and 1311621457701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26864671 + ... + 26913449.

It is an arithmetic number, because the mean of its divisors is an integer number (21094032960).

Almost surely, 2^{1311621457740} is an apocalyptic number.

1311621457740 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 1311621457740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025027164160).

1311621457740 is an abundant number, since it is smaller than the sum of its proper divisors (2738432870580).

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

1311621457740 is a wasteful number, since it uses less digits than its factorization.

1311621457740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49244 (or 49242 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 1311621457740 in words is "one trillion, three hundred eleven billion, six hundred twenty-one million, four hundred fifty-seven thousand, seven hundred forty".