5442400213152 has 384 divisors, whose sum is σ = 17525071872000. Its totient is φ = 1445218384896.

The previous prime is 5442400213097. The next prime is 5442400213213. The reversal of 5442400213152 is 2513120042445.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100947099 + ... + 101000997.

It is an arithmetic number, because the mean of its divisors is an integer number (45638208000).

Almost surely, 2^{5442400213152} 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 5442400213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762535936000).

5442400213152 is an abundant number, since it is smaller than the sum of its proper divisors (12082671658848).

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

5442400213152 is a wasteful number, since it uses less digits than its factorization.

5442400213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54128 (or 54120 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 5442400213152 its reverse (2513120042445), we get a palindrome (7955520255597).

The spelling of 5442400213152 in words is "five trillion, four hundred forty-two billion, four hundred million, two hundred thirteen thousand, one hundred fifty-two".