1426105824 has 288 divisors, whose sum is σ = 4528960128. Its totient is φ = 389376000.

The previous prime is 1426105817. The next prime is 1426105841. The reversal of 1426105824 is 4285016241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10886239 + ... + 10886369.

It is an arithmetic number, because the mean of its divisors is an integer number (15725556).

Almost surely, 2^1426105824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264480064).

1426105824 is an abundant number, since it is smaller than the sum of its proper divisors (3102854304).

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

1426105824 is a wasteful number, since it uses less digits than its factorization.

1426105824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1426105824 is about 37763.8163325689. The cubic root of 1426105824 is about 1125.5995682061.

The spelling of 1426105824 in words is "one billion, four hundred twenty-six million, one hundred five thousand, eight hundred twenty-four".