4109100382800 has 720 divisors, whose sum is σ = 17445425088000. Its totient is φ = 874702955520.

The previous prime is 4109100382799. The next prime is 4109100382813. The reversal of 4109100382800 is 82830019014.

4109100382800 is a `hidden beast` number, since 410 + 91 + 0 + 0 + 3 + 82 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 28176471 + ... + 28321929.

Almost surely, 2^{4109100382800} is an apocalyptic number.

4109100382800 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 4109100382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722712544000).

4109100382800 is an abundant number, since it is smaller than the sum of its proper divisors (13336324705200).

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

4109100382800 is a wasteful number, since it uses less digits than its factorization.

4109100382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145568 (or 145554 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 4109100382800 in words is "four trillion, one hundred nine billion, one hundred million, three hundred eighty-two thousand, eight hundred".