541551410400 has 864 divisors, whose sum is σ = 2409107557248. Its totient is φ = 103870771200.

The previous prime is 541551410399. The next prime is 541551410417. The reversal of 541551410400 is 4014155145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16800699 + ... + 16832901.

It is an arithmetic number, because the mean of its divisors is an integer number (2788318932).

Almost surely, 2^541551410400 is an apocalyptic number.

541551410400 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 541551410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204553778624).

541551410400 is an abundant number, since it is smaller than the sum of its proper divisors (1867556146848).

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

541551410400 is a wasteful number, since it uses less digits than its factorization.

541551410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32264 (or 32244 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 541551410400 its reverse (4014155145), we get a palindrome (545565565545).

The spelling of 541551410400 in words is "five hundred forty-one billion, five hundred fifty-one million, four hundred ten thousand, four hundred".