7444411128 has 384 divisors, whose sum is σ = 27383616000. Its totient is φ = 1767951360.

The previous prime is 7444411057. The next prime is 7444411153. The reversal of 7444411128 is 8211144447.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 7444411092 and 7444411101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3053526 + ... + 3055962.

It is an arithmetic number, because the mean of its divisors is an integer number (71311500).

Almost surely, 2^7444411128 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 7444411128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691808000).

7444411128 is an abundant number, since it is smaller than the sum of its proper divisors (19939204872).

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

7444411128 is a wasteful number, since it uses less digits than its factorization.

7444411128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2508 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 7444411128 is about 86281.0009677681. Note that the first 3 decimals coincide. The cubic root of 7444411128 is about 1952.5857547110.

The spelling of 7444411128 in words is "seven billion, four hundred forty-four million, four hundred eleven thousand, one hundred twenty-eight".