4121397600 has 288 divisors, whose sum is σ = 14106597120. Its totient is φ = 1043159040.

The previous prime is 4121397571. The next prime is 4121397649. The reversal of 4121397600 is 67931214.

4121397600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10874211 + ... + 10874589.

It is an arithmetic number, because the mean of its divisors is an integer number (48981240).

Almost surely, 2^4121397600 is an apocalyptic number.

4121397600 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 4121397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

4121397600 is an abundant number, since it is smaller than the sum of its proper divisors (9985199520).

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

4121397600 is a wasteful number, since it uses less digits than its factorization.

4121397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4121397600 is about 64198.1121217750. The cubic root of 4121397600 is about 1603.3001675455.

The spelling of 4121397600 in words is "four billion, one hundred twenty-one million, three hundred ninety-seven thousand, six hundred".