744200000000000 has 468 divisors, whose sum is σ = 1891269096257268. Its totient is φ = 292800000000000.

The previous prime is 744199999999957. The next prime is 744200000000011. The reversal of 744200000000000 is 2447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 712939556061184 + 31260443938816 = 26700928^2 + 5591104^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12199999999970 + ... + 12200000000030.

It is an arithmetic number, because the mean of its divisors is an integer number (4041173282601).

Almost surely, 2^{744200000000000} 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 744200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945634548128634).

744200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1147069096257268).

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

744200000000000 is an frugal number, since it uses more digits than its factorization.

744200000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

Adding to 744200000000000 its reverse (2447), we get a palindrome (744200000002447).

The spelling of 744200000000000 in words is "seven hundred forty-four trillion, two hundred billion", and thus it is an aban number.