1341360384 has 288 divisors, whose sum is σ = 4656395520. Its totient is φ = 332660736.

The previous prime is 1341360379. The next prime is 1341360407. The reversal of 1341360384 is 4830631431.

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, 1187532 + ... + 1188660.

It is an arithmetic number, because the mean of its divisors is an integer number (16168040).

Almost surely, 2^1341360384 is an apocalyptic number.

1341360384 is a gapful number since it is divisible by the number (14) 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 1341360384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328197760).

1341360384 is an abundant number, since it is smaller than the sum of its proper divisors (3315035136).

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

1341360384 is a wasteful number, since it uses less digits than its factorization.

1341360384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1341360384 is about 36624.5871512567. The cubic root of 1341360384 is about 1102.8467267808.

The spelling of 1341360384 in words is "one billion, three hundred forty-one million, three hundred sixty thousand, three hundred eighty-four".