541304440000 has 140 divisors (see below), whose sum is σ = 1354814276904. Its totient is φ = 214496512000.

The previous prime is 541304439989. The next prime is 541304440021. The reversal of 541304440000 is 44403145.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 19 ways as a sum of consecutive naturals, for example, 4216764 + ... + 4343236.

Almost surely, 2^541304440000 is an apocalyptic number.

541304440000 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 541304440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677407138452).

541304440000 is an abundant number, since it is smaller than the sum of its proper divisors (813509836904).

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

541304440000 is a wasteful number, since it uses less digits than its factorization.

541304440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126612 (or 126587 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 541304440000 its reverse (44403145), we get a palindrome (541348843145).

The spelling of 541304440000 in words is "five hundred forty-one billion, three hundred four million, four hundred forty thousand".