8922081450240 has 864 divisors, whose sum is σ = 37389849396480. Its totient is φ = 1973496545280.

The previous prime is 8922081450229. The next prime is 8922081450257. The reversal of 8922081450240 is 420541802298.

8922081450240 is a `hidden beast` number, since 8 + 9 + 2 + 20 + 81 + 4 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×8922081450240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232465932 + ... + 232504308.

Almost surely, 2^{8922081450240} is an apocalyptic number.

8922081450240 is a gapful number since it is divisible by the number (80) 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 8922081450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694924698240).

8922081450240 is an abundant number, since it is smaller than the sum of its proper divisors (28467767946240).

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

8922081450240 is a wasteful number, since it uses less digits than its factorization.

8922081450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38476 (or 38425 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8922081450240 in words is "eight trillion, nine hundred twenty-two billion, eighty-one million, four hundred fifty thousand, two hundred forty".