4165434873600 has 5184 divisors, whose sum is σ = 21067181614080. Its totient is φ = 700710912000.

The previous prime is 4165434873577. The next prime is 4165434873631. The reversal of 4165434873600 is 63784345614.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 68285817570 + ... + 68285817630.

Almost surely, 2^{4165434873600} is an apocalyptic number.

4165434873600 is a gapful number since it is divisible by the number (40) 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 4165434873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533590807040).

4165434873600 is an abundant number, since it is smaller than the sum of its proper divisors (16901746740480).

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

4165434873600 is a wasteful number, since it uses less digits than its factorization.

4165434873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 4165434873600 in words is "four trillion, one hundred sixty-five billion, four hundred thirty-four million, eight hundred seventy-three thousand, six hundred".