8115669001440 has 4608 divisors, whose sum is σ = 41253824102400. Its totient is φ = 1409085849600.

The previous prime is 8115669001411. The next prime is 8115669001463. The reversal of 8115669001440 is 441009665118.

8115669001440 is a `hidden beast` number, since 8 + 115 + 6 + 6 + 90 + 0 + 1 + 440 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 102729987321 + ... + 102729987399.

It is an arithmetic number, because the mean of its divisors is an integer number (8952652800).

Almost surely, 2^{8115669001440} is an apocalyptic number.

8115669001440 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 8115669001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626912051200).

8115669001440 is an abundant number, since it is smaller than the sum of its proper divisors (33138155100960).

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

8115669001440 is a wasteful number, since it uses less digits than its factorization.

8115669001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 8115669001440 in words is "eight trillion, one hundred fifteen billion, six hundred sixty-nine million, one thousand, four hundred forty".