5442301003440 has 320 divisors, whose sum is σ = 19372415800320. Its totient is φ = 1238081863680.

The previous prime is 5442301003379. The next prime is 5442301003459. The reversal of 5442301003440 is 443001032445.

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 = 5442301003398 and 5442301003407.

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, 1075763631 + ... + 1075768689.

It is an arithmetic number, because the mean of its divisors is an integer number (60538799376).

Almost surely, 2^{5442301003440} 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 5442301003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686207900160).

5442301003440 is an abundant number, since it is smaller than the sum of its proper divisors (13930114796880).

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

5442301003440 is a wasteful number, since it uses less digits than its factorization.

5442301003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 5442301003440 its reverse (443001032445), we get a palindrome (5885302035885).

The spelling of 5442301003440 in words is "five trillion, four hundred forty-two billion, three hundred one million, three thousand, four hundred forty".