424290079584 has 144 divisors (see below), whose sum is σ = 1439555770800. Its totient is φ = 121225724928.

The previous prime is 424290079537. The next prime is 424290079597. The reversal of 424290079584 is 485970092424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×424290079584² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 424290079584.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4968649 + ... + 5053320.

It is an arithmetic number, because the mean of its divisors is an integer number (9996915075).

Almost surely, 2^424290079584 is an apocalyptic number.

It is an amenable number.

424290079584 is an abundant number, since it is smaller than the sum of its proper divisors (1015265691216).

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

424290079584 is a wasteful number, since it uses less digits than its factorization.

424290079584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022002 (or 10021981 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 424290079584 in words is "four hundred twenty-four billion, two hundred ninety million, seventy-nine thousand, five hundred eighty-four".