541524451040 has 192 divisors, whose sum is σ = 1324168896960. Its totient is φ = 209141760000.

The previous prime is 541524450991. The next prime is 541524451067. The reversal of 541524451040 is 40154425145.

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 31 ways as a sum of consecutive naturals, for example, 365647100 + ... + 365648580.

It is an arithmetic number, because the mean of its divisors is an integer number (6896713005).

Almost surely, 2^541524451040 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 541524451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662084448480).

541524451040 is an abundant number, since it is smaller than the sum of its proper divisors (782644445920).

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

541524451040 is a wasteful number, since it uses less digits than its factorization.

541524451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 541524451040 its reverse (40154425145), we get a palindrome (581678876185).

The spelling of 541524451040 in words is "five hundred forty-one billion, five hundred twenty-four million, four hundred fifty-one thousand, forty".