541045314553200 has 480 divisors, whose sum is σ = 1819451672163840. Its totient is φ = 137432229580800.

The previous prime is 541045314553199. The next prime is 541045314553267. The reversal of 541045314553200 is 2355413540145.

It is a super-2 number, since 2×541045314553200² (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3518619519 + ... + 3518773281.

It is an arithmetic number, because the mean of its divisors is an integer number (3790524317008).

Almost surely, 2^{541045314553200} is an apocalyptic number.

541045314553200 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 541045314553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909725836081920).

541045314553200 is an abundant number, since it is smaller than the sum of its proper divisors (1278406357610640).

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

541045314553200 is a wasteful number, since it uses less digits than its factorization.

541045314553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154094 (or 154037 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 541045314553200 in words is "five hundred forty-one trillion, forty-five billion, three hundred fourteen million, five hundred fifty-three thousand, two hundred".