9042073920 has 336 divisors, whose sum is σ = 34491899520. Its totient is φ = 2155622400.

The previous prime is 9042073907. The next prime is 9042073933. The reversal of 9042073920 is 293702409.

It is an interprime number because it is at equal distance from previous prime (9042073907) and next prime (9042073933).

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, 1930141 + ... + 1934819.

Almost surely, 2^9042073920 is an apocalyptic number.

9042073920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9042073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245949760).

9042073920 is an abundant number, since it is smaller than the sum of its proper divisors (25449825600).

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

9042073920 is a wasteful number, since it uses less digits than its factorization.

9042073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9042073920 is about 95089.8202753586. The cubic root of 9042073920 is about 2083.3201658617.

The spelling of 9042073920 in words is "nine billion, forty-two million, seventy-three thousand, nine hundred twenty".