4231918172160 has 1152 divisors, whose sum is σ = 17509187404800. Its totient is φ = 960292454400.

The previous prime is 4231918172149. The next prime is 4231918172189. The reversal of 4231918172160 is 612718191324.

4231918172160 is a `hidden beast` number, since 4 + 2 + 319 + 1 + 8 + 172 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2630153436 + ... + 2630155044.

It is an arithmetic number, because the mean of its divisors is an integer number (15198947400).

Almost surely, 2^{4231918172160} is an apocalyptic number.

4231918172160 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 4231918172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754593702400).

4231918172160 is an abundant number, since it is smaller than the sum of its proper divisors (13277269232640).

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

4231918172160 is a wasteful number, since it uses less digits than its factorization.

4231918172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 4231918172160 in words is "four trillion, two hundred thirty-one billion, nine hundred eighteen million, one hundred seventy-two thousand, one hundred sixty".