1340741381140 has 192 divisors, whose sum is σ = 3290182737408. Its totient is φ = 449489664000.

The previous prime is 1340741381137. The next prime is 1340741381149. The reversal of 1340741381140 is 411831470431.

It is a super-2 number, since 2×1340741381140² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1340741381140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340741381149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384054795 + ... + 384058285.

It is an arithmetic number, because the mean of its divisors is an integer number (17136368424).

Almost surely, 2^{1340741381140} is an apocalyptic number.

1340741381140 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 1340741381140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645091368704).

1340741381140 is an abundant number, since it is smaller than the sum of its proper divisors (1949441356268).

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

1340741381140 is a wasteful number, since it uses less digits than its factorization.

1340741381140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 1340741381140 in words is "one trillion, three hundred forty billion, seven hundred forty-one million, three hundred eighty-one thousand, one hundred forty".