541352011200 has 1344 divisors, whose sum is σ = 2398961123328. Its totient is φ = 103215513600.

The previous prime is 541352011181. The next prime is 541352011267. The reversal of 541352011200 is 2110253145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1475073417 + ... + 1475073783.

It is an arithmetic number, because the mean of its divisors is an integer number (1784941312).

Almost surely, 2^541352011200 is an apocalyptic number.

541352011200 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 541352011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199480561664).

541352011200 is an abundant number, since it is smaller than the sum of its proper divisors (1857609112128).

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

541352011200 is a wasteful number, since it uses less digits than its factorization.

541352011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 541352011200 its reverse (2110253145), we get a palindrome (543462264345).

The spelling of 541352011200 in words is "five hundred forty-one billion, three hundred fifty-two million, eleven thousand, two hundred".