168173741400 has 768 divisors, whose sum is σ = 650015539200. Its totient is φ = 35126784000.

The previous prime is 168173741389. The next prime is 168173741401. The reversal of 168173741400 is 4147371861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168173741401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 266519085 + ... + 266519715.

It is an arithmetic number, because the mean of its divisors is an integer number (846374400).

Almost surely, 2^168173741400 is an apocalyptic number.

168173741400 is a gapful number since it is divisible by the number (10) 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 168173741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325007769600).

168173741400 is an abundant number, since it is smaller than the sum of its proper divisors (481841797800).

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

168173741400 is a wasteful number, since it uses less digits than its factorization.

168173741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 168173741400 in words is "one hundred sixty-eight billion, one hundred seventy-three million, seven hundred forty-one thousand, four hundred".