542940051456 has 288 divisors, whose sum is σ = 1713161923200. Its totient is φ = 164287365120.

The previous prime is 542940051421. The next prime is 542940051457. The reversal of 542940051456 is 654150049245.

542940051456 is a `hidden beast` number, since 5 + 42 + 9 + 40 + 0 + 514 + 56 = 666.

542940051456 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542940051457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179839515 + ... + 179842533.

It is an arithmetic number, because the mean of its divisors is an integer number (5948478900).

Almost surely, 2^542940051456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542940051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856580961600).

542940051456 is an abundant number, since it is smaller than the sum of its proper divisors (1170221871744).

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

542940051456 is a wasteful number, since it uses less digits than its factorization.

542940051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 542940051456 in words is "five hundred forty-two billion, nine hundred forty million, fifty-one thousand, four hundred fifty-six".