4109923540800 has 2352 divisors, whose sum is σ = 19214178642432. Its totient is φ = 840031948800.

The previous prime is 4109923540787. The next prime is 4109923540817. The reversal of 4109923540800 is 80453299014.

4109923540800 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 9 + 23 + 540 + 80 + 0 = 666.

4109923540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4109923540800² (a number of 26 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 6017457259 + ... + 6017457941.

Almost surely, 2^{4109923540800} is an apocalyptic number.

4109923540800 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 4109923540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607089321216).

4109923540800 is an abundant number, since it is smaller than the sum of its proper divisors (15104255101632).

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

4109923540800 is a wasteful number, since it uses less digits than its factorization.

4109923540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4109923540800 in words is "four trillion, one hundred nine billion, nine hundred twenty-three million, five hundred forty thousand, eight hundred".