541545521400 has 576 divisors, whose sum is σ = 2011052534400. Its totient is φ = 129780817920.

The previous prime is 541545521389. The next prime is 541545521401. The reversal of 541545521400 is 4125545145.

541545521400 is a `hidden beast` number, since 5 + 41 + 54 + 5 + 521 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541545521401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134945794 + ... + 134949806.

It is an arithmetic number, because the mean of its divisors is an integer number (3491410650).

Almost surely, 2^541545521400 is an apocalyptic number.

541545521400 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 541545521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005526267200).

541545521400 is an abundant number, since it is smaller than the sum of its proper divisors (1469507013000).

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

541545521400 is a wasteful number, since it uses less digits than its factorization.

541545521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 541545521400 in words is "five hundred forty-one billion, five hundred forty-five million, five hundred twenty-one thousand, four hundred".