1341409248 has 240 divisors, whose sum is σ = 4129592544. Its totient is φ = 426746880.

The previous prime is 1341409247. The next prime is 1341409261. The reversal of 1341409248 is 8429041431.

It is a happy number.

1341409248 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 409 + 248 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341409247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6809086 + ... + 6809282.

Almost surely, 2^1341409248 is an apocalyptic number.

1341409248 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 1341409248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064796272).

1341409248 is an abundant number, since it is smaller than the sum of its proper divisors (2788183296).

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

1341409248 is a wasteful number, since it uses less digits than its factorization.

1341409248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1341409248 is about 36625.2542380254. The cubic root of 1341409248 is about 1102.8601183716.

The spelling of 1341409248 in words is "one billion, three hundred forty-one million, four hundred nine thousand, two hundred forty-eight".