542213440000 has 200 divisors, whose sum is σ = 1355900932188. Its totient is φ = 216545280000.

The previous prime is 542213439931. The next prime is 542213440003. The reversal of 542213440000 is 44312245.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 68627233024 + 473586206976 = 261968^2 + 688176^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (542213440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339519202 + ... + 339520798.

Almost surely, 2^542213440000 is an apocalyptic number.

542213440000 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 542213440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677950466094).

542213440000 is an abundant number, since it is smaller than the sum of its proper divisors (813687492188).

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

542213440000 is an equidigital number, since it uses as much as digits as its factorization.

542213440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2665 counting only the distinct ones).

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

Adding to 542213440000 its reverse (44312245), we get a palindrome (542257752245).

The spelling of 542213440000 in words is "five hundred forty-two billion, two hundred thirteen million, four hundred forty thousand".