9042742480 has 80 divisors (see below), whose sum is σ = 21426963408. Its totient is φ = 3548160000.

The previous prime is 9042742469. The next prime is 9042742481. The reversal of 9042742480 is 842472409.

9042742480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 80712256 + 8962030224 = 8984^2 + 94668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042742481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1954570 + ... + 1959190.

Almost surely, 2^9042742480 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 9042742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713481704).

9042742480 is an abundant number, since it is smaller than the sum of its proper divisors (12384220928).

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

9042742480 is a wasteful number, since it uses less digits than its factorization.

9042742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 9042742480 is about 95093.3356234810. The cubic root of 9042742480 is about 2083.3715106533.

The spelling of 9042742480 in words is "nine billion, forty-two million, seven hundred forty-two thousand, four hundred eighty".