1342681427340 has 288 divisors, whose sum is σ = 4520195813952. Its totient is φ = 319857408000.

The previous prime is 1342681427333. The next prime is 1342681427359. The reversal of 1342681427340 is 437241862431.

1342681427340 is a `hidden beast` number, since 1 + 3 + 4 + 268 + 1 + 42 + 7 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142636474 + ... + 142645886.

It is an arithmetic number, because the mean of its divisors is an integer number (15695124354).

Almost surely, 2^{1342681427340} is an apocalyptic number.

1342681427340 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 1342681427340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260097906976).

1342681427340 is an abundant number, since it is smaller than the sum of its proper divisors (3177514386612).

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

1342681427340 is a wasteful number, since it uses less digits than its factorization.

1342681427340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10676 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

It can be divided in two parts, 1342681 and 427340, that added together give a triangular number (1770021 = T₁₈₈₁).

The spelling of 1342681427340 in words is "one trillion, three hundred forty-two billion, six hundred eighty-one million, four hundred twenty-seven thousand, three hundred forty".