1542443326020 has 144 divisors (see below), whose sum is σ = 4806313123248. Its totient is φ = 400108584960.

The previous prime is 1542443326003. The next prime is 1542443326147. The reversal of 1542443326020 is 206233442451.

1542443326020 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 4 + 43 + 3 + 2 + 602 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 177920301636 + 1364523024384 = 421806^2 + 1168128^2 .

It is a super-3 number, since 3×1542443326020³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31417332 + ... + 31466388.

It is an arithmetic number, because the mean of its divisors is an integer number (33377174467).

Almost surely, 2^{1542443326020} is an apocalyptic number.

1542443326020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542443326020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403156561624).

1542443326020 is an abundant number, since it is smaller than the sum of its proper divisors (3263869797228).

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

1542443326020 is a wasteful number, since it uses less digits than its factorization.

1542443326020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53830 (or 53825 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1542443326020 its reverse (206233442451), we get a palindrome (1748676768471).

The spelling of 1542443326020 in words is "one trillion, five hundred forty-two billion, four hundred forty-three million, three hundred twenty-six thousand, twenty".