542434416000 has 256 divisors, whose sum is σ = 1804353969600. Its totient is φ = 144151756800.

The previous prime is 542434415993. The next prime is 542434416089. The reversal of 542434416000 is 614434245.

It is a happy number.

It is a super-2 number, since 2×542434416000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14044716 + ... + 14083284.

Almost surely, 2^542434416000 is an apocalyptic number.

542434416000 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 542434416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902176984800).

542434416000 is an abundant number, since it is smaller than the sum of its proper divisors (1261919553600).

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

542434416000 is a wasteful number, since it uses less digits than its factorization.

542434416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38894 (or 38872 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 542434416000 in words is "five hundred forty-two billion, four hundred thirty-four million, four hundred sixteen thousand".