9224142480 has 240 divisors, whose sum is σ = 35464825344. Its totient is φ = 2104704000.

The previous prime is 9224142451. The next prime is 9224142481. The reversal of 9224142480 is 842414229.

9224142480 is a `hidden beast` number, since 9 + 224 + 1 + 424 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (9224142481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3783822 + ... + 3786258.

Almost surely, 2^9224142480 is an apocalyptic number.

9224142480 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 9224142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17732412672).

9224142480 is an abundant number, since it is smaller than the sum of its proper divisors (26240682864).

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

9224142480 is a wasteful number, since it uses less digits than its factorization.

9224142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 9224142480 is about 96042.3993869374. The cubic root of 9224142480 is about 2097.2103912041.

The spelling of 9224142480 in words is "nine billion, two hundred twenty-four million, one hundred forty-two thousand, four hundred eighty".