5442505513040 has 160 divisors (see below), whose sum is σ = 13982817113856. Its totient is φ = 1959561584640.

The previous prime is 5442505513031. The next prime is 5442505513043. The reversal of 5442505513040 is 403155052445.

It is a super-2 number, since 2×5442505513040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5442505512985 and 5442505513003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442505513043) 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, 406727150 + ... + 406740530.

Almost surely, 2^{5442505513040} 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 5442505513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991408556928).

5442505513040 is an abundant number, since it is smaller than the sum of its proper divisors (8540311600816).

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

5442505513040 is a wasteful number, since it uses less digits than its factorization.

5442505513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26437 (or 26431 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

The spelling of 5442505513040 in words is "five trillion, four hundred forty-two billion, five hundred five million, five hundred thirteen thousand, forty".