4109920505700 has 576 divisors, whose sum is σ = 12852582715392. Its totient is φ = 1011651379200.

The previous prime is 4109920505693. The next prime is 4109920505729. The reversal of 4109920505700 is 75050299014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6513344385 + ... + 6513345015.

Almost surely, 2^{4109920505700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109920505700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426291357696).

4109920505700 is an abundant number, since it is smaller than the sum of its proper divisors (8742662209692).

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

4109920505700 is a wasteful number, since it uses less digits than its factorization.

4109920505700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 4109920505700 in words is "four trillion, one hundred nine billion, nine hundred twenty million, five hundred five thousand, seven hundred".