4744524900416 has 630 divisors, whose sum is σ = 12112493678190. Its totient is φ = 1843262023680.

The previous prime is 4744524900413. The next prime is 4744524900481. The reversal of 4744524900416 is 6140094254474.

It can be written as a sum of positive squares in only one way, i.e., 3411793186816 + 1332731713600 = 1847104^2 + 1154440^2 .

It is a super-3 number, since 3×4744524900416³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4744524900413) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 53309268500 + ... + 53309268588.

Almost surely, 2^{4744524900416} 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 4744524900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056246839095).

4744524900416 is an abundant number, since it is smaller than the sum of its proper divisors (7367968777774).

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

4744524900416 is an frugal number, since it uses more digits than its factorization.

4744524900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 4744524900416 in words is "four trillion, seven hundred forty-four billion, five hundred twenty-four million, nine hundred thousand, four hundred sixteen".