541412564000 has 864 divisors, whose sum is σ = 1749700500912. Its totient is φ = 163924992000.

The previous prime is 541412563999. The next prime is 541412564003. The reversal of 541412564000 is 465214145.

It can be written as a sum of positive squares in 8 ways, for example, as 5418726544 + 535993837456 = 73612^2 + 732116^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (541412564003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 877491692 + ... + 877492308.

Almost surely, 2^541412564000 is an apocalyptic number.

541412564000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541412564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874850250456).

541412564000 is an abundant number, since it is smaller than the sum of its proper divisors (1208287936912).

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

541412564000 is a wasteful number, since it uses less digits than its factorization.

541412564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 541412564000 its reverse (465214145), we get a palindrome (541877778145).

The spelling of 541412564000 in words is "five hundred forty-one billion, four hundred twelve million, five hundred sixty-four thousand".