1340938924416 has 1920 divisors, whose sum is σ = 5392976117760. Its totient is φ = 321680056320.

The previous prime is 1340938924379. The next prime is 1340938924417. The reversal of 1340938924416 is 6144298390431.

1340938924416 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 9 + 389 + 244 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340938924417) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10558574145 + ... + 10558574271.

It is an arithmetic number, because the mean of its divisors is an integer number (2808841728).

Almost surely, 2^{1340938924416} is an apocalyptic number.

1340938924416 is a gapful number since it is divisible by the number (16) 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 1340938924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696488058880).

1340938924416 is an abundant number, since it is smaller than the sum of its proper divisors (4052037193344).

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

1340938924416 is a wasteful number, since it uses less digits than its factorization.

1340938924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 134093 and 8924416, that added together give a palindrome (9058509).

The spelling of 1340938924416 in words is "one trillion, three hundred forty billion, nine hundred thirty-eight million, nine hundred twenty-four thousand, four hundred sixteen".