4164531105600 has 672 divisors, whose sum is σ = 15556171722240. Its totient is φ = 1083275182080.

The previous prime is 4164531105583. The next prime is 4164531105613. The reversal of 4164531105600 is 65011354614.

4164531105600 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 5 + 31 + 10 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 635511924 + ... + 635518476.

Almost surely, 2^{4164531105600} is an apocalyptic number.

4164531105600 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 4164531105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778085861120).

4164531105600 is an abundant number, since it is smaller than the sum of its proper divisors (11391640616640).

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

4164531105600 is a wasteful number, since it uses less digits than its factorization.

4164531105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 4164531105600 in words is "four trillion, one hundred sixty-four billion, five hundred thirty-one million, one hundred five thousand, six hundred".