1349019441 has 135 divisors (see below), whose sum is σ = 2626232763. Its totient is φ = 687566880.

The previous prime is 1349019407. The next prime is 1349019443. The reversal of 1349019441 is 1449109431.

1349019441 = 265³ + 266³ + ... + 318³.

The square root of 1349019441 is 36729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 972504225 + 376515216 = 31185^2 + 19404^2 .

It is not a de Polignac number, because 1349019441 - 2¹¹ = 1349017393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1349019396 and 1349019405.

It is not an unprimeable number, because it can be changed into a prime (1349019443) 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 134 ways as a sum of consecutive naturals, for example, 25453171 + ... + 25453223.

Almost surely, 2^1349019441 is an apocalyptic number.

1349019441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1349019441 is the 36729-th square number.

1349019441 is the 18365-th centered octagonal number.

It is an amenable number.

1349019441 is a deficient number, since it is larger than the sum of its proper divisors (1277213322).

1349019441 is an equidigital number, since it uses as much as digits as its factorization.

1349019441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 1349019441 is about 1104.9417988360.

Multiplying 1349019441 by its sum of digits (36), we get a square (48564699876 = 220374²).

The spelling of 1349019441 in words is "one billion, three hundred forty-nine million, nineteen thousand, four hundred forty-one".