8014465527040 has 216 divisors, whose sum is σ = 22346065463400. Its totient is φ = 2746009534464.

The previous prime is 8014465527037. The next prime is 8014465527077. The reversal of 8014465527040 is 407255644108.

It can be written as a sum of positive squares in 4 ways, for example, as 47259281664 + 7967206245376 = 217392^2 + 2822624^2 .

It is a super-2 number, since 2×8014465527040² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 97112034 + ... + 97194526.

It is an arithmetic number, because the mean of its divisors is an integer number (103454006775).

Almost surely, 2^{8014465527040} is an apocalyptic number.

8014465527040 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 8014465527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173032731700).

8014465527040 is an abundant number, since it is smaller than the sum of its proper divisors (14331599936360).

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

8014465527040 is a wasteful number, since it uses less digits than its factorization.

8014465527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84077 (or 84056 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 8014465527040 in words is "eight trillion, fourteen billion, four hundred sixty-five million, five hundred twenty-seven thousand, forty".