7744141944 has 256 divisors, whose sum is σ = 26931225600. Its totient is φ = 2003097600.

The previous prime is 7744141939. The next prime is 7744141957. The reversal of 7744141944 is 4491414477.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7744141944.

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, 4672764 + ... + 4674420.

It is an arithmetic number, because the mean of its divisors is an integer number (105200100).

Almost surely, 2^7744141944 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 7744141944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465612800).

7744141944 is an abundant number, since it is smaller than the sum of its proper divisors (19187083656).

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

7744141944 is a wasteful number, since it uses less digits than its factorization.

7744141944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1961 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 7744141944 is about 88000.8064963043. The cubic root of 7744141944 is about 1978.4470651636.

The spelling of 7744141944 in words is "seven billion, seven hundred forty-four million, one hundred forty-one thousand, nine hundred forty-four".