9272151282240 has 1008 divisors, whose sum is σ = 41444903485440. Its totient is φ = 1860229324800.

The previous prime is 9272151282223. The next prime is 9272151282259. The reversal of 9272151282240 is 422821512729.

9272151282240 is a `hidden beast` number, since 9 + 2 + 72 + 1 + 512 + 8 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×9272151282240² (a number of 27 digits) contains 22 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 143 ways as a sum of consecutive naturals, for example, 70675905 + ... + 70806975.

It is an arithmetic number, because the mean of its divisors is an integer number (41115975680).

Almost surely, 2^{9272151282240} is an apocalyptic number.

9272151282240 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 9272151282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722451742720).

9272151282240 is an abundant number, since it is smaller than the sum of its proper divisors (32172752203200).

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

9272151282240 is a wasteful number, since it uses less digits than its factorization.

9272151282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131152 (or 131128 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 9272151282240 its reverse (422821512729), we get a palindrome (9694972794969).

The spelling of 9272151282240 in words is "nine trillion, two hundred seventy-two billion, one hundred fifty-one million, two hundred eighty-two thousand, two hundred forty".