110002261162640 has 240 divisors, whose sum is σ = 327771147357504. Its totient is φ = 33946948224000.

The previous prime is 110002261162529. The next prime is 110002261162643. The reversal of 110002261162640 is 46261162200011.

It is a junction number, because it is equal to n+sod(n) for n = 110002261162597 and 110002261162606.

It is not an unprimeable number, because it can be changed into a prime (110002261162643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8273954 + ... + 16984193.

Almost surely, 2^{110002261162640} is an apocalyptic number.

110002261162640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002261162640 is an abundant number, since it is smaller than the sum of its proper divisors (217768886194864).

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

110002261162640 is a wasteful number, since it uses less digits than its factorization.

110002261162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25258286 (or 25258273 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 110002261162640 in words is "one hundred ten trillion, two billion, two hundred sixty-one million, one hundred sixty-two thousand, six hundred forty".