9281261433120 has 48 divisors (see below), whose sum is σ = 29235973515840. Its totient is φ = 2475003048704.

The previous prime is 9281261433071. The next prime is 9281261433167. The reversal of 9281261433120 is 213341621829.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9281261433120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9667980180 + ... + 9667981139.

It is an arithmetic number, because the mean of its divisors is an integer number (609082781580).

Almost surely, 2^{9281261433120} is an apocalyptic number.

It is an amenable number.

9281261433120 is an abundant number, since it is smaller than the sum of its proper divisors (19954712082720).

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

9281261433120 is a wasteful number, since it uses less digits than its factorization.

9281261433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19335961337 (or 19335961329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 9281261433120 in words is "nine trillion, two hundred eighty-one billion, two hundred sixty-one million, four hundred thirty-three thousand, one hundred twenty".