1341313776 has 160 divisors (see below), whose sum is σ = 4219372800. Its totient is φ = 404593920.

The previous prime is 1341313763. The next prime is 1341313783. The reversal of 1341313776 is 6773131431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1341313776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315795 + ... + 1316813.

It is an arithmetic number, because the mean of its divisors is an integer number (26371080).

Almost surely, 2^1341313776 is an apocalyptic number.

1341313776 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 1341313776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109686400).

1341313776 is an abundant number, since it is smaller than the sum of its proper divisors (2878059024).

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

1341313776 is a wasteful number, since it uses less digits than its factorization.

1341313776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 1341313776 is about 36623.9508518674. The cubic root of 1341313776 is about 1102.8339531628.

The spelling of 1341313776 in words is "one billion, three hundred forty-one million, three hundred thirteen thousand, seven hundred seventy-six".