8102611440 has 480 divisors, whose sum is σ = 35188747776. Its totient is φ = 1683348480.

The previous prime is 8102611409. The next prime is 8102611441. The reversal of 8102611440 is 441162018.

It is a happy number.

8102611440 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 611 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8102611441) 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, 1494174 + ... + 1499586.

Almost surely, 2^8102611440 is an apocalyptic number.

8102611440 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 8102611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594373888).

8102611440 is an abundant number, since it is smaller than the sum of its proper divisors (27086136336).

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

8102611440 is a wasteful number, since it uses less digits than its factorization.

8102611440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8102611440 is about 90014.5068308437. The cubic root of 8102611440 is about 2008.5146522398.

Adding to 8102611440 its reverse (441162018), we get a palindrome (8543773458).

The spelling of 8102611440 in words is "eight billion, one hundred two million, six hundred eleven thousand, four hundred forty".