4163974214400 has 5184 divisors, whose sum is σ = 22086561369600. Its totient is φ = 752467968000.

The previous prime is 4163974214333. The next prime is 4163974214401. The reversal of 4163974214400 is 44124793614.

4163974214400 is a `hidden beast` number, since 4 + 1 + 6 + 397 + 4 + 214 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163974214401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23005382310 + ... + 23005382490.

Almost surely, 2^{4163974214400} is an apocalyptic number.

4163974214400 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 4163974214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043280684800).

4163974214400 is an abundant number, since it is smaller than the sum of its proper divisors (17922587155200).

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

4163974214400 is a wasteful number, since it uses less digits than its factorization.

4163974214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4163974214400 in words is "four trillion, one hundred sixty-three billion, nine hundred seventy-four million, two hundred fourteen thousand, four hundred".