541505629440 has 432 divisors, whose sum is σ = 1990743522768. Its totient is φ = 135429095424.

The previous prime is 541505629417. The next prime is 541505629459. The reversal of 541505629440 is 44926505145.

541505629440 is a `hidden beast` number, since 5 + 4 + 15 + 0 + 5 + 629 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 77319588096 + 464186041344 = 278064^2 + 681312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57376402 + ... + 57385838.

It is an arithmetic number, because the mean of its divisors is an integer number (4608202599).

Almost surely, 2^541505629440 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 541505629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995371761384).

541505629440 is an abundant number, since it is smaller than the sum of its proper divisors (1449237893328).

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

541505629440 is a wasteful number, since it uses less digits than its factorization.

541505629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 541505629440 in words is "five hundred forty-one billion, five hundred five million, six hundred twenty-nine thousand, four hundred forty".