1342766481408 has 960 divisors, whose sum is σ = 4568764398660. Its totient is φ = 392398110720.

The previous prime is 1342766481401. The next prime is 1342766481431. The reversal of 1342766481408 is 8041846672431.

1342766481408 is a `hidden beast` number, since 1 + 34 + 2 + 76 + 64 + 81 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1329759535104 + 13006946304 = 1153152^2 + 114048^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1342766481401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11882889160 + ... + 11882889272.

Almost surely, 2^{1342766481408} is an apocalyptic number.

1342766481408 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 1342766481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284382199330).

1342766481408 is an abundant number, since it is smaller than the sum of its proper divisors (3225997917252).

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

1342766481408 is an equidigital number, since it uses as much as digits as its factorization.

1342766481408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1342766481408 in words is "one trillion, three hundred forty-two billion, seven hundred sixty-six million, four hundred eighty-one thousand, four hundred eight".