4109776704 has 280 divisors, whose sum is σ = 13445264448. Its totient is φ = 1230888960.

The previous prime is 4109776681. The next prime is 4109776711. The reversal of 4109776704 is 4076779014.

It is a super-2 number, since 2×4109776704² = 33780529113482207232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4109776704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5530957 + ... + 5531699.

Almost surely, 2^4109776704 is an apocalyptic number.

4109776704 is a gapful number since it is divisible by the number (44) 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 4109776704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722632224).

4109776704 is an abundant number, since it is smaller than the sum of its proper divisors (9335487744).

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

4109776704 is a wasteful number, since it uses less digits than its factorization.

4109776704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 4109776704 is about 64107.5401493459. The cubic root of 4109776704 is about 1601.7918342488.

The spelling of 4109776704 in words is "four billion, one hundred nine million, seven hundred seventy-six thousand, seven hundred four".