1340117122752 has 252 divisors, whose sum is σ = 3966049528896. Its totient is φ = 432626780160.

The previous prime is 1340117122741. The next prime is 1340117122781. The reversal of 1340117122752 is 2572217110431.

1340117122752 is a `hidden beast` number, since 13 + 401 + 17 + 1 + 227 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175841502 + ... + 175849122.

Almost surely, 2^{1340117122752} is an apocalyptic number.

1340117122752 is a gapful number since it is divisible by the number (12) 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 1340117122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983024764448).

1340117122752 is an abundant number, since it is smaller than the sum of its proper divisors (2625932406144).

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

1340117122752 is a wasteful number, since it uses less digits than its factorization.

1340117122752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1340117122752 in words is "one trillion, three hundred forty billion, one hundred seventeen million, one hundred twenty-two thousand, seven hundred fifty-two".