541884432384 has 405 divisors, whose sum is σ = 1648738220311. Its totient is φ = 178084085760.

The previous prime is 541884432373. The next prime is 541884432391. The reversal of 541884432384 is 483234488145.

The square root of 541884432384 is 736128.

It is a perfect power (a square), and thus also a powerful number.

541884432384 is a `hidden beast` number, since 5 + 41 + 88 + 443 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 541884432384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7632175069 + ... + 7632175139.

Almost surely, 2^541884432384 is an apocalyptic number.

541884432384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

541884432384 is the 736128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541884432384

541884432384 is an abundant number, since it is smaller than the sum of its proper divisors (1106853787927).

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

541884432384 is an frugal number, since it uses more digits than its factorization.

541884432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 76 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 541884432384 in words is "five hundred forty-one billion, eight hundred eighty-four million, four hundred thirty-two thousand, three hundred eighty-four".