541542513400 has 96 divisors (see below), whose sum is σ = 1439701380000. Its totient is φ = 185575518720.

The previous prime is 541542513329. The next prime is 541542513409. The reversal of 541542513400 is 4315245145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541542513409) 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, 2629366 + ... + 2827834.

It is an arithmetic number, because the mean of its divisors is an integer number (14996889375).

Almost surely, 2^541542513400 is an apocalyptic number.

541542513400 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 541542513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719850690000).

541542513400 is an abundant number, since it is smaller than the sum of its proper divisors (898158866600).

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

541542513400 is a wasteful number, since it uses less digits than its factorization.

541542513400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200441 (or 200432 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 541542513400 its reverse (4315245145), we get a palindrome (545857758545).

The spelling of 541542513400 in words is "five hundred forty-one billion, five hundred forty-two million, five hundred thirteen thousand, four hundred".