9045921240 has 320 divisors, whose sum is σ = 31120135200. Its totient is φ = 2356273152.

The previous prime is 9045921197. The next prime is 9045921253. The reversal of 9045921240 is 421295409.

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

It is a junction number, because it is equal to n+sod(n) for n = 9045921195 and 9045921204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33627826 + ... + 33628094.

Almost surely, 2^9045921240 is an apocalyptic number.

9045921240 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 9045921240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560067600).

9045921240 is an abundant number, since it is smaller than the sum of its proper divisors (22074213960).

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

9045921240 is a wasteful number, since it uses less digits than its factorization.

9045921240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

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

The square root of 9045921240 is about 95110.0480496146. The cubic root of 9045921240 is about 2083.6156018749.

The spelling of 9045921240 in words is "nine billion, forty-five million, nine hundred twenty-one thousand, two hundred forty".