8140858007040 has 1920 divisors, whose sum is σ = 32870722389120. Its totient is φ = 1931334451200.

The previous prime is 8140858007039. The next prime is 8140858007077. The reversal of 8140858007040 is 407008580418.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 41324152222 + ... + 41324152418.

It is an arithmetic number, because the mean of its divisors is an integer number (17120167911).

Almost surely, 2^{8140858007040} is an apocalyptic number.

8140858007040 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 8140858007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16435361194560).

8140858007040 is an abundant number, since it is smaller than the sum of its proper divisors (24729864382080).

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

8140858007040 is an equidigital number, since it uses as much as digits as its factorization.

8140858007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 8140858007040 in words is "eight trillion, one hundred forty billion, eight hundred fifty-eight million, seven thousand, forty".