541458228432 has 240 divisors, whose sum is σ = 1596773911040. Its totient is φ = 157865621760.

The previous prime is 541458228427. The next prime is 541458228449. The reversal of 541458228432 is 234822854145.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16716669 + ... + 16749027.

Almost surely, 2^541458228432 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 541458228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798386955520).

541458228432 is an abundant number, since it is smaller than the sum of its proper divisors (1055315682608).

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

541458228432 is a wasteful number, since it uses less digits than its factorization.

541458228432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32502 (or 32485 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 48.

The spelling of 541458228432 in words is "five hundred forty-one billion, four hundred fifty-eight million, two hundred twenty-eight thousand, four hundred thirty-two".