4081212800 has 192 divisors, whose sum is σ = 11601757440. Its totient is φ = 1389619200.

The previous prime is 4081212791. The next prime is 4081212803. The reversal of 4081212800 is 82121804.

It is a self number, because there is not a number n which added to its sum of digits gives 4081212800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081212803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3740255 + ... + 3741345.

It is an arithmetic number, because the mean of its divisors is an integer number (60425820).

Almost surely, 2^4081212800 is an apocalyptic number.

4081212800 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 4081212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800878720).

4081212800 is an abundant number, since it is smaller than the sum of its proper divisors (7520544640).

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

4081212800 is a wasteful number, since it uses less digits than its factorization.

4081212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 4081212800 is about 63884.3705455411. The cubic root of 4081212800 is about 1598.0722616567.

The spelling of 4081212800 in words is "four billion, eighty-one million, two hundred twelve thousand, eight hundred".