541420420800 has 336 divisors, whose sum is σ = 2054538001152. Its totient is φ = 122261606400.

The previous prime is 541420420777. The next prime is 541420420841. The reversal of 541420420800 is 8024024145.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2691730 + ... + 2885870.

It is an arithmetic number, because the mean of its divisors is an integer number (6114696432).

Almost surely, 2^541420420800 is an apocalyptic number.

541420420800 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 541420420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027269000576).

541420420800 is an abundant number, since it is smaller than the sum of its proper divisors (1513117580352).

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

541420420800 is a wasteful number, since it uses less digits than its factorization.

541420420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194256 (or 194241 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 541420420800 its reverse (8024024145), we get a palindrome (549444444945).

The spelling of 541420420800 in words is "five hundred forty-one billion, four hundred twenty million, four hundred twenty thousand, eight hundred".