1340315554122 has 96 divisors (see below), whose sum is σ = 3028089469392. Its totient is φ = 428102019072.

The previous prime is 1340315554099. The next prime is 1340315554133. The reversal of 1340315554122 is 2214555130431.

1340315554122 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 1 + 55 + 541 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 382639979241 + 957675574881 = 618579^2 + 978609^2 .

It is a super-4 number, since 4×1340315554122⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11758788 + ... + 11872224.

Almost surely, 2^{1340315554122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340315554122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514044734696).

1340315554122 is an abundant number, since it is smaller than the sum of its proper divisors (1687773915270).

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

1340315554122 is a wasteful number, since it uses less digits than its factorization.

1340315554122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113752 (or 113749 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1340315554122 in words is "one trillion, three hundred forty billion, three hundred fifteen million, five hundred fifty-four thousand, one hundred twenty-two".