542114412000 has 384 divisors, whose sum is σ = 2035443271680. Its totient is φ = 123559833600.

The previous prime is 542114411981. The next prime is 542114412011. The reversal of 542114412000 is 214411245.

542114412000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30147012 + ... + 30164988.

It is an arithmetic number, because the mean of its divisors is an integer number (5300633520).

Almost surely, 2^542114412000 is an apocalyptic number.

542114412000 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 542114412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017721635840).

542114412000 is an abundant number, since it is smaller than the sum of its proper divisors (1493328859680).

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

542114412000 is a wasteful number, since it uses less digits than its factorization.

542114412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18371 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 542114412000 its reverse (214411245), we get a palindrome (542328823245).

The spelling of 542114412000 in words is "five hundred forty-two billion, one hundred fourteen million, four hundred twelve thousand".