542019965742 has 128 divisors (see below), whose sum is σ = 1282317926400. Its totient is φ = 169224951168.

The previous prime is 542019965689. The next prime is 542019965743. The reversal of 542019965742 is 247569910245.

It is a happy number.

542019965742 is a `hidden beast` number, since 5 + 420 + 1 + 99 + 65 + 74 + 2 = 666.

It is a super-2 number, since 2×542019965742² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542019965743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38171388 + ... + 38185584.

It is an arithmetic number, because the mean of its divisors is an integer number (10018108800).

Almost surely, 2^542019965742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542019965742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641158963200).

542019965742 is an abundant number, since it is smaller than the sum of its proper divisors (740297960658).

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

542019965742 is a wasteful number, since it uses less digits than its factorization.

542019965742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14647 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 542019965742 in words is "five hundred forty-two billion, nineteen million, nine hundred sixty-five thousand, seven hundred forty-two".