8161102909440 has 1248 divisors, whose sum is σ = 32791815325440. Its totient is φ = 1921037893632.

The previous prime is 8161102909409. The next prime is 8161102909447. The reversal of 8161102909440 is 449092011618.

It is a happy number.

8161102909440 is a `hidden beast` number, since 8 + 1 + 6 + 110 + 2 + 90 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×8161102909440² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8161102909447) 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, 2149353622 + ... + 2149357418.

Almost surely, 2^{8161102909440} is an apocalyptic number.

8161102909440 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 8161102909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395907662720).

8161102909440 is an abundant number, since it is smaller than the sum of its proper divisors (24630712416000).

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

8161102909440 is a wasteful number, since it uses less digits than its factorization.

8161102909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 8161102909440 in words is "eight trillion, one hundred sixty-one billion, one hundred two million, nine hundred nine thousand, four hundred forty".