542602201440 has 384 divisors, whose sum is σ = 1881787783680. Its totient is φ = 130609594368.

The previous prime is 542602201387. The next prime is 542602201483. The reversal of 542602201440 is 44102206245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 542602201398 and 542602201407.

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 63 ways as a sum of consecutive naturals, for example, 58108452 + ... + 58117788.

It is an arithmetic number, because the mean of its divisors is an integer number (4900489020).

Almost surely, 2^542602201440 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 542602201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940893891840).

542602201440 is an abundant number, since it is smaller than the sum of its proper divisors (1339185582240).

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

542602201440 is a wasteful number, since it uses less digits than its factorization.

542602201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 542602201440 its reverse (44102206245), we get a palindrome (586704407685).

The spelling of 542602201440 in words is "five hundred forty-two billion, six hundred two million, two hundred one thousand, four hundred forty".