9042491520 has 192 divisors, whose sum is σ = 31692248640. Its totient is φ = 2375239680.

The previous prime is 9042491473. The next prime is 9042491527. The reversal of 9042491520 is 251942409.

9042491520 is a `hidden beast` number, since 9 + 0 + 42 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (9042491527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374205 + ... + 397635.

It is an arithmetic number, because the mean of its divisors is an integer number (165063795).

Almost surely, 2^9042491520 is an apocalyptic number.

9042491520 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 9042491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846124320).

9042491520 is an abundant number, since it is smaller than the sum of its proper divisors (22649757120).

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

9042491520 is a wasteful number, since it uses less digits than its factorization.

9042491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23523 (or 23508 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9042491520 is about 95092.0160686480. The cubic root of 9042491520 is about 2083.3522374534.

The spelling of 9042491520 in words is "nine billion, forty-two million, four hundred ninety-one thousand, five hundred twenty".