541136400 has 180 divisors, whose sum is σ = 2016670032. Its totient is φ = 123674880.

The previous prime is 541136363. The next prime is 541136411. The reversal of 541136400 is 4631145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54199 + ... + 63401.

Almost surely, 2^541136400 is an apocalyptic number.

541136400 is a gapful number since it is divisible by the number (50) 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 541136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008335016).

541136400 is an abundant number, since it is smaller than the sum of its proper divisors (1475533632).

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

541136400 is a wasteful number, since it uses less digits than its factorization.

541136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 541136400 is about 23262.3386614502. The cubic root of 541136400 is about 814.8961188435.

Adding to 541136400 its reverse (4631145), we get a palindrome (545767545).

The spelling of 541136400 in words is "five hundred forty-one million, one hundred thirty-six thousand, four hundred".