4541162400 has 576 divisors, whose sum is σ = 17717616000. Its totient is φ = 1118453760.

The previous prime is 4541162359. The next prime is 4541162401. The reversal of 4541162400 is 42611454.

4541162400 is a `hidden beast` number, since 4 + 5 + 411 + 6 + 240 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4541162401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30477526 + ... + 30477674.

It is an arithmetic number, because the mean of its divisors is an integer number (30759750).

Almost surely, 2^4541162400 is an apocalyptic number.

4541162400 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 4541162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858808000).

4541162400 is an abundant number, since it is smaller than the sum of its proper divisors (13176453600).

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

4541162400 is a wasteful number, since it uses less digits than its factorization.

4541162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4541162400 is about 67388.1473257724. The cubic root of 4541162400 is about 1655.9822514376.

Adding to 4541162400 its reverse (42611454), we get a palindrome (4583773854).

The spelling of 4541162400 in words is "four billion, five hundred forty-one million, one hundred sixty-two thousand, four hundred".