4050541600 has 144 divisors (see below), whose sum is σ = 11896113600. Its totient is φ = 1315630080.

The previous prime is 4050541597. The next prime is 4050541609. The reversal of 4050541600 is 61450504.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4050541609) 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, 87366 + ... + 125434.

It is an arithmetic number, because the mean of its divisors is an integer number (82611900).

Almost surely, 2^4050541600 is an apocalyptic number.

4050541600 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 4050541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948056800).

4050541600 is an abundant number, since it is smaller than the sum of its proper divisors (7845572000).

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

4050541600 is a wasteful number, since it uses less digits than its factorization.

4050541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38115 (or 38102 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 4050541600 is about 63643.8653760125. The cubic root of 4050541600 is about 1594.0589044193.

The spelling of 4050541600 in words is "four billion, fifty million, five hundred forty-one thousand, six hundred".