1428348824441 has 64 divisors (see below), whose sum is σ = 1831991040000. Its totient is φ = 1103929968960.

The previous prime is 1428348824359. The next prime is 1428348824443. The reversal of 1428348824441 is 1444288438241.

It is a happy number.

It is not a de Polignac number, because 1428348824441 - 2¹⁰ = 1428348823417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1428348824443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390364070 + ... + 390367728.

It is an arithmetic number, because the mean of its divisors is an integer number (28624860000).

Almost surely, 2^{1428348824441} is an apocalyptic number.

1428348824441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1428348824441 is a deficient number, since it is larger than the sum of its proper divisors (403642215559).

1428348824441 is a wasteful number, since it uses less digits than its factorization.

1428348824441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4493 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 53.

The spelling of 1428348824441 in words is "one trillion, four hundred twenty-eight billion, three hundred forty-eight million, eight hundred twenty-four thousand, four hundred forty-one".