10442771424 has 288 divisors, whose sum is σ = 32855318496. Its totient is φ = 3251404800.

The previous prime is 10442771411. The next prime is 10442771453. The reversal of 10442771424 is 42417724401.

10442771424 is a `hidden beast` number, since 1 + 0 + 442 + 77 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26041624 + ... + 26042024.

It is an arithmetic number, because the mean of its divisors is an integer number (114080967).

Almost surely, 2^10442771424 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 10442771424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427659248).

10442771424 is an abundant number, since it is smaller than the sum of its proper divisors (22412547072).

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

10442771424 is a wasteful number, since it uses less digits than its factorization.

10442771424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 10442771424 in words is "ten billion, four hundred forty-two million, seven hundred seventy-one thousand, four hundred twenty-four".