541229400384 has 224 divisors, whose sum is σ = 1580483341440. Its totient is φ = 162740109312.

The previous prime is 541229400377. The next prime is 541229400431. The reversal of 541229400384 is 483004922145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8058012 + ... + 8124900.

Almost surely, 2^541229400384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541229400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790241670720).

541229400384 is an abundant number, since it is smaller than the sum of its proper divisors (1039253941056).

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

541229400384 is a wasteful number, since it uses less digits than its factorization.

541229400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67025 (or 67015 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 541229400384 in words is "five hundred forty-one billion, two hundred twenty-nine million, four hundred thousand, three hundred eighty-four".