5242135440000 has 320 divisors, whose sum is σ = 17562660524640. Its totient is φ = 1384831488000.

The previous prime is 5242135439969. The next prime is 5242135440001. The reversal of 5242135440000 is 445312425.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5242135440000.

It is not an unprimeable number, because it can be changed into a prime (5242135440001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 25577934 + ... + 25782066.

Almost surely, 2^{5242135440000} is an apocalyptic number.

5242135440000 is a gapful number since it is divisible by the number (50) 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 5242135440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781330262320).

5242135440000 is an abundant number, since it is smaller than the sum of its proper divisors (12320525084640).

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

5242135440000 is a wasteful number, since it uses less digits than its factorization.

5242135440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204277 (or 204250 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 5242135440000 in words is "five trillion, two hundred forty-two billion, one hundred thirty-five million, four hundred forty thousand".