4161672000 has 224 divisors, whose sum is σ = 15269504640. Its totient is φ = 1109721600.

The previous prime is 4161671981. The next prime is 4161672001. The reversal of 4161672000 is 2761614.

4161672000 is a `hidden beast` number, since 41 + 616 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161672001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206367 + ... + 225633.

Almost surely, 2^4161672000 is an apocalyptic number.

4161672000 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 4161672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634752320).

4161672000 is an abundant number, since it is smaller than the sum of its proper divisors (11107832640).

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

4161672000 is a wasteful number, since it uses less digits than its factorization.

4161672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19277 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4161672000 is about 64511.0223140201. The cubic root of 4161672000 is about 1608.5057442371.

The spelling of 4161672000 in words is "four billion, one hundred sixty-one million, six hundred seventy-two thousand".