9240008786400 has 576 divisors, whose sum is σ = 35409268661760. Its totient is φ = 2048667033600.

The previous prime is 9240008786383. The next prime is 9240008786431. The reversal of 9240008786400 is 46878000429.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9240008786400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205727146 + ... + 205772054.

It is an arithmetic number, because the mean of its divisors is an integer number (61474424760).

Almost surely, 2^{9240008786400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9240008786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704634330880).

9240008786400 is an abundant number, since it is smaller than the sum of its proper divisors (26169259875360).

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

9240008786400 is a wasteful number, since it uses less digits than its factorization.

9240008786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45307 (or 45294 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 9240008786400 in words is "nine trillion, two hundred forty billion, eight million, seven hundred eighty-six thousand, four hundred".