1311626540640 has 192 divisors, whose sum is σ = 4450667256000. Its totient is φ = 322772926464.

The previous prime is 1311626540617. The next prime is 1311626540669. The reversal of 1311626540640 is 460456261131.

It is a super-2 number, since 2×1311626540640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24240336 + ... + 24294384.

It is an arithmetic number, because the mean of its divisors is an integer number (23180558625).

Almost surely, 2^{1311626540640} is an apocalyptic number.

1311626540640 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 1311626540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225333628000).

1311626540640 is an abundant number, since it is smaller than the sum of its proper divisors (3139040715360).

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

1311626540640 is a wasteful number, since it uses less digits than its factorization.

1311626540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57969 (or 57961 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1311626540640 in words is "one trillion, three hundred eleven billion, six hundred twenty-six million, five hundred forty thousand, six hundred forty".