4172874173424 has 2400 divisors, whose sum is σ = 16219616878080. Its totient is φ = 1018220544000.

The previous prime is 4172874173417. The next prime is 4172874173431. The reversal of 4172874173424 is 4243714782714.

4172874173424 is a `hidden beast` number, since 4 + 1 + 7 + 287 + 4 + 17 + 342 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4172874173417) and next prime (4172874173431).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8429568) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 101777418844 + ... + 101777418884.

Almost surely, 2^{4172874173424} is an apocalyptic number.

4172874173424 is a gapful number since it is divisible by the number (44) 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 4172874173424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109808439040).

4172874173424 is an abundant number, since it is smaller than the sum of its proper divisors (12046742704656).

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

4172874173424 is a wasteful number, since it uses less digits than its factorization.

4172874173424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 147 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The spelling of 4172874173424 in words is "four trillion, one hundred seventy-two billion, eight hundred seventy-four million, one hundred seventy-three thousand, four hundred twenty-four".