8140518973440 has 1344 divisors, whose sum is σ = 34532449136640. Its totient is φ = 1800190033920.

The previous prime is 8140518973427. The next prime is 8140518973441. The reversal of 8140518973440 is 443798150418.

8140518973440 is a `hidden beast` number, since 8 + 1 + 4 + 0 + 51 + 89 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140518973441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2159859876 + ... + 2159863644.

It is an arithmetic number, because the mean of its divisors is an integer number (25693786560).

Almost surely, 2^{8140518973440} is an apocalyptic number.

8140518973440 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 8140518973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266224568320).

8140518973440 is an abundant number, since it is smaller than the sum of its proper divisors (26391930163200).

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

8140518973440 is an equidigital number, since it uses as much as digits as its factorization.

8140518973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8140518973440 in words is "eight trillion, one hundred forty billion, five hundred eighteen million, nine hundred seventy-three thousand, four hundred forty".