541005463987200 has 1584 divisors, whose sum is σ = 2094900052190400. Its totient is φ = 132948217036800.

The previous prime is 541005463987169. The next prime is 541005463987207. The reversal of 541005463987200 is 2789364500145.

It is a happy number.

541005463987200 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 0 + 5 + 46 + 398 + 7 + 200 = 666.

It is a super-2 number, since 2×541005463987200² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541005463987207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63357000531 + ... + 63357009069.

It is a 1-persistent number, because it is pandigital, but 2⋅541005463987200 = 1082010927974400 is not.

Almost surely, 2^{541005463987200} is an apocalyptic number.

541005463987200 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 541005463987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047450026095200).

541005463987200 is an abundant number, since it is smaller than the sum of its proper divisors (1553894588203200).

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

541005463987200 is a wasteful number, since it uses less digits than its factorization.

541005463987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8988 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 541005463987200 in words is "five hundred forty-one trillion, five billion, four hundred sixty-three million, nine hundred eighty-seven thousand, two hundred".