541254532400 has 120 divisors (see below), whose sum is σ = 1320787406160. Its totient is φ = 213122990080.

The previous prime is 541254532373. The next prime is 541254532459. The reversal of 541254532400 is 4235452145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8047712 + ... + 8114688.

It is an arithmetic number, because the mean of its divisors is an integer number (11006561718).

Almost surely, 2^541254532400 is an apocalyptic number.

541254532400 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 541254532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660393703080).

541254532400 is an abundant number, since it is smaller than the sum of its proper divisors (779532873760).

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

541254532400 is a wasteful number, since it uses less digits than its factorization.

541254532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67311 (or 67300 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 541254532400 its reverse (4235452145), we get a palindrome (545489984545).

The spelling of 541254532400 in words is "five hundred forty-one billion, two hundred fifty-four million, five hundred thirty-two thousand, four hundred".