5742224682432 has 448 divisors, whose sum is σ = 19028789821440. Its totient is φ = 1490304614400.

The previous prime is 5742224682377. The next prime is 5742224682499. The reversal of 5742224682432 is 2342864222475.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 268430457 + ... + 268451847.

It is an arithmetic number, because the mean of its divisors is an integer number (42474977280).

Almost surely, 2^{5742224682432} 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 5742224682432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514394910720).

5742224682432 is an abundant number, since it is smaller than the sum of its proper divisors (13286565139008).

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

5742224682432 is a wasteful number, since it uses less digits than its factorization.

5742224682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21840 (or 21830 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 51.

The spelling of 5742224682432 in words is "five trillion, seven hundred forty-two billion, two hundred twenty-four million, six hundred eighty-two thousand, four hundred thirty-two".