4100770800 has 840 divisors, whose sum is σ = 17646266400. Its totient is φ = 914457600.

The previous prime is 4100770777. The next prime is 4100770813. The reversal of 4100770800 is 80770014.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 100018780 + ... + 100018820.

It is an arithmetic number, because the mean of its divisors is an integer number (21007460).

Almost surely, 2^4100770800 is an apocalyptic number.

4100770800 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 4100770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8823133200).

4100770800 is an abundant number, since it is smaller than the sum of its proper divisors (13545495600).

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

4100770800 is an equidigital number, since it uses as much as digits as its factorization.

4100770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 4100770800 is about 64037.2610282482. The cubic root of 4100770800 is about 1600.6209568933.

The spelling of 4100770800 in words is "four billion, one hundred million, seven hundred seventy thousand, eight hundred".