9270480240000 has 2560 divisors, whose sum is σ = 40859340825600. Its totient is φ = 2024497152000.

The previous prime is 9270480239959. The next prime is 9270480240017. The reversal of 9270480240000 is 420840729.

9270480240000 is a `hidden beast` number, since 92 + 70 + 480 + 24 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 40839119887 + ... + 40839120113.

It is an arithmetic number, because the mean of its divisors is an integer number (15960680010).

Almost surely, 2^{9270480240000} is an apocalyptic number.

9270480240000 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 9270480240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20429670412800).

9270480240000 is an abundant number, since it is smaller than the sum of its proper divisors (31588860585600).

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

9270480240000 is a wasteful number, since it uses less digits than its factorization.

9270480240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 9270480240000 in words is "nine trillion, two hundred seventy billion, four hundred eighty million, two hundred forty thousand".