1340779876128 has 576 divisors, whose sum is σ = 4950519275520. Its totient is φ = 333994752000.

The previous prime is 1340779876103. The next prime is 1340779876213. The reversal of 1340779876128 is 8216789770431.

1340779876128 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 7 + 7 + 9 + 8 + 7 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97101801 + ... + 97115607.

It is an arithmetic number, because the mean of its divisors is an integer number (8594651520).

Almost surely, 2^{1340779876128} is an apocalyptic number.

1340779876128 is a gapful number since it is divisible by the number (18) 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 1340779876128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475259637760).

1340779876128 is an abundant number, since it is smaller than the sum of its proper divisors (3609739399392).

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

1340779876128 is a wasteful number, since it uses less digits than its factorization.

1340779876128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14021 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1340779876128 in words is "one trillion, three hundred forty billion, seven hundred seventy-nine million, eight hundred seventy-six thousand, one hundred twenty-eight".