107440441101864 has 192 divisors, whose sum is σ = 338268257308800. Its totient is φ = 30530878253568.

The previous prime is 107440441101863. The next prime is 107440441101881. The reversal of 107440441101864 is 468101144044701.

107440441101864 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 40 + 441 + 101 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (107440441101863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85422762 + ... + 86671385.

It is an arithmetic number, because the mean of its divisors is an integer number (1761813840150).

Almost surely, 2^{107440441101864} is an apocalyptic number.

It is an amenable number.

107440441101864 is an abundant number, since it is smaller than the sum of its proper divisors (230827816206936).

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

107440441101864 is a wasteful number, since it uses less digits than its factorization.

107440441101864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172094224 (or 172094217 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 107440441101864 in words is "one hundred seven trillion, four hundred forty billion, four hundred forty-one million, one hundred one thousand, eight hundred sixty-four".