4113610164100 has 18 divisors (see below), whose sum is σ = 8926534056314. Its totient is φ = 1645444065600.

The previous prime is 4113610164091. The next prime is 4113610164107. The reversal of 4113610164100 is 14610163114.

It can be written as a sum of positive squares in 3 ways, for example, as 790310332036 + 3323299832064 = 888994^2 + 1822992^2 .

It is not an unprimeable number, because it can be changed into a prime (4113610164107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20568050721 + ... + 20568050920.

Almost surely, 2^{4113610164100} is an apocalyptic number.

It is an amenable number.

4113610164100 is an abundant number, since it is smaller than the sum of its proper divisors (4812923892214).

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

4113610164100 is a wasteful number, since it uses less digits than its factorization.

4113610164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41136101655 (or 41136101648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 4113610164100 in words is "four trillion, one hundred thirteen billion, six hundred ten million, one hundred sixty-four thousand, one hundred".