542205132240 has 160 divisors (see below), whose sum is σ = 1721432249856. Its totient is φ = 141101775360.

The previous prime is 542205132239. The next prime is 542205132241. The reversal of 542205132240 is 42231502245.

It is an interprime number because it is at equal distance from previous prime (542205132239) and next prime (542205132241).

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 = 542205132198 and 542205132207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542205132241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12062287 + ... + 12107153.

Almost surely, 2^542205132240 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 542205132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860716124928).

542205132240 is an abundant number, since it is smaller than the sum of its proper divisors (1179227117616).

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

542205132240 is a wasteful number, since it uses less digits than its factorization.

542205132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46097 (or 46091 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 542205132240 its reverse (42231502245), we get a palindrome (584436634485).

The spelling of 542205132240 in words is "five hundred forty-two billion, two hundred five million, one hundred thirty-two thousand, two hundred forty".