4117123607800 has 96 divisors (see below), whose sum is σ = 11515563849600. Its totient is φ = 1337291268480.

The previous prime is 4117123607767. The next prime is 4117123607803. The reversal of 4117123607800 is 87063217114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117123607803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77362942 + ... + 77416141.

It is an arithmetic number, because the mean of its divisors is an integer number (119953790100).

Almost surely, 2^{4117123607800} is an apocalyptic number.

4117123607800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117123607800 is an abundant number, since it is smaller than the sum of its proper divisors (7398440241800).

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

4117123607800 is a wasteful number, since it uses less digits than its factorization.

4117123607800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154779125 (or 154779116 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 4117123607800 in words is "four trillion, one hundred seventeen billion, one hundred twenty-three million, six hundred seven thousand, eight hundred".