4205541600 has 576 divisors, whose sum is σ = 17363263680. Its totient is φ = 973209600.

The previous prime is 4205541551. The next prime is 4205541611. The reversal of 4205541600 is 61455024.

4205541600 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 54 + 1 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4773160 + ... + 4774040.

It is an arithmetic number, because the mean of its divisors is an integer number (30144555).

Almost surely, 2^4205541600 is an apocalyptic number.

4205541600 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 4205541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8681631840).

4205541600 is an abundant number, since it is smaller than the sum of its proper divisors (13157722080).

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

4205541600 is a wasteful number, since it uses less digits than its factorization.

4205541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4205541600 is about 64850.1472627472. The cubic root of 4205541600 is about 1614.1379354482.

Adding to 4205541600 its reverse (61455024), we get a palindrome (4266996624).

The spelling of 4205541600 in words is "four billion, two hundred five million, five hundred forty-one thousand, six hundred".