1340513695248 has 720 divisors, whose sum is σ = 4502426826240. Its totient is φ = 340597813248.

The previous prime is 1340513695247. The next prime is 1340513695361. The reversal of 1340513695248 is 8425963150431.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1340513695248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340513695247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6011272065 + ... + 6011272287.

It is an arithmetic number, because the mean of its divisors is an integer number (6253370592).

Almost surely, 2^{1340513695248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340513695248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251213413120).

1340513695248 is an abundant number, since it is smaller than the sum of its proper divisors (3161913130992).

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

1340513695248 is a wasteful number, since it uses less digits than its factorization.

1340513695248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 1340513695248 in words is "one trillion, three hundred forty billion, five hundred thirteen million, six hundred ninety-five thousand, two hundred forty-eight".