542280037104 has 360 divisors, whose sum is σ = 1753890458112. Its totient is φ = 155788738560.

The previous prime is 542280037097. The next prime is 542280037139. The reversal of 542280037104 is 401730082245.

It is a happy number.

542280037104 is a `hidden beast` number, since 5 + 4 + 2 + 280 + 0 + 371 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 52536264 + ... + 52546584.

Almost surely, 2^542280037104 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 542280037104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876945229056).

542280037104 is an abundant number, since it is smaller than the sum of its proper divisors (1211610421008).

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

542280037104 is a wasteful number, since it uses less digits than its factorization.

542280037104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10483 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 542280037104 in words is "five hundred forty-two billion, two hundred eighty million, thirty-seven thousand, one hundred four".