8140540611840 has 1728 divisors, whose sum is σ = 33862897635840. Its totient is φ = 1629542154240.

The previous prime is 8140540611793. The next prime is 8140540611857. The reversal of 8140540611840 is 481160450418.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8140540611792 and 8140540611801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8036071174 + ... + 8036072186.

It is an arithmetic number, because the mean of its divisors is an integer number (19596584280).

Almost surely, 2^{8140540611840} is an apocalyptic number.

8140540611840 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 8140540611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16931448817920).

8140540611840 is an abundant number, since it is smaller than the sum of its proper divisors (25722357024000).

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

8140540611840 is a wasteful number, since it uses less digits than its factorization.

8140540611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 8140540611840 in words is "eight trillion, one hundred forty billion, five hundred forty million, six hundred eleven thousand, eight hundred forty".