7142003821440 has 192 divisors, whose sum is σ = 25734503377440. Its totient is φ = 1821728477184.

The previous prime is 7142003821439. The next prime is 7142003821529. The reversal of 7142003821440 is 441283002417.

7142003821440 is a `hidden beast` number, since 7 + 1 + 4 + 200 + 3 + 8 + 2 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 7142003821395 and 7142003821404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26822547 + ... + 27087506.

Almost surely, 2^{7142003821440} is an apocalyptic number.

It is an amenable number.

7142003821440 is an abundant number, since it is smaller than the sum of its proper divisors (18592499556000).

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

7142003821440 is a wasteful number, since it uses less digits than its factorization.

7142003821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53910101 (or 53910086 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 7142003821440 its reverse (441283002417), we get a palindrome (7583286823857).

The spelling of 7142003821440 in words is "seven trillion, one hundred forty-two billion, three million, eight hundred twenty-one thousand, four hundred forty".