8540743550400 has 588 divisors, whose sum is σ = 31545569318184. Its totient is φ = 2274884352000.

The previous prime is 8540743550377. The next prime is 8540743550473. The reversal of 8540743550400 is 40553470458.

8540743550400 is a `hidden beast` number, since 8 + 5 + 40 + 74 + 35 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1132570630 + ... + 1132578170.

Almost surely, 2^{8540743550400} is an apocalyptic number.

8540743550400 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 8540743550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772784659092).

8540743550400 is an abundant number, since it is smaller than the sum of its proper divisors (23004825767784).

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

8540743550400 is an equidigital number, since it uses as much as digits as its factorization.

8540743550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8552 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 8540743550400 in words is "eight trillion, five hundred forty billion, seven hundred forty-three million, five hundred fifty thousand, four hundred".