541056471040 has 104 divisors (see below), whose sum is σ = 1316166641208. Its totient is φ = 213457305600.

The previous prime is 541056471037. The next prime is 541056471119. The reversal of 541056471040 is 40174650145.

It can be written as a sum of positive squares in 4 ways, for example, as 9020440576 + 532036030464 = 94976^2 + 729408^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1314090 + ... + 1675990.

Almost surely, 2^541056471040 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 541056471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658083320604).

541056471040 is an abundant number, since it is smaller than the sum of its proper divisors (775110170168).

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

541056471040 is an equidigital number, since it uses as much as digits as its factorization.

541056471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362003 (or 361981 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 541056471040 in words is "five hundred forty-one billion, fifty-six million, four hundred seventy-one thousand, forty".