1341389390976 has 768 divisors, whose sum is σ = 4176632678400. Its totient is φ = 412676259840.

The previous prime is 1341389390969. The next prime is 1341389390977. The reversal of 1341389390976 is 6790939831431.

1341389390976 is a `hidden beast` number, since 1 + 341 + 38 + 93 + 90 + 97 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1341389390977) 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 95 ways as a sum of consecutive naturals, for example, 13828756560 + ... + 13828756656.

It is an arithmetic number, because the mean of its divisors is an integer number (5438323800).

Almost surely, 2^{1341389390976} is an apocalyptic number.

1341389390976 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 1341389390976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088316339200).

1341389390976 is an abundant number, since it is smaller than the sum of its proper divisors (2835243287424).

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

1341389390976 is a wasteful number, since it uses less digits than its factorization.

1341389390976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 1341389390976 in words is "one trillion, three hundred forty-one billion, three hundred eighty-nine million, three hundred ninety thousand, nine hundred seventy-six".