8101117440 has 960 divisors, whose sum is σ = 33620723136. Its totient is φ = 1783627776.

The previous prime is 8101117429. The next prime is 8101117487. The reversal of 8101117440 is 447111018.

8101117440 is a `hidden beast` number, since 8 + 101 + 117 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188398059 + ... + 188398101.

Almost surely, 2^8101117440 is an apocalyptic number.

8101117440 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 8101117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16810361568).

8101117440 is an abundant number, since it is smaller than the sum of its proper divisors (25519605696).

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

8101117440 is a wasteful number, since it uses less digits than its factorization.

8101117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 8101117440 is about 90006.2077859077. The cubic root of 8101117440 is about 2008.3911979945.

Adding to 8101117440 its reverse (447111018), we get a palindrome (8548228458).

The spelling of 8101117440 in words is "eight billion, one hundred one million, one hundred seventeen thousand, four hundred forty".