7441072128 has 420 divisors, whose sum is σ = 25786318320. Its totient is φ = 2102132736.

The previous prime is 7441072117. The next prime is 7441072139. The reversal of 7441072128 is 8212701447.

It is an interprime number because it is at equal distance from previous prime (7441072117) and next prime (7441072139).

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

It is a junction number, because it is equal to n+sod(n) for n = 7441072092 and 7441072101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83607508 + ... + 83607596.

It is an arithmetic number, because the mean of its divisors is an integer number (61395996).

Almost surely, 2^7441072128 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 7441072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893159160).

7441072128 is an abundant number, since it is smaller than the sum of its proper divisors (18345246192).

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

7441072128 is an frugal number, since it uses more digits than its factorization.

7441072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7441072128 is about 86261.6492306981. The cubic root of 7441072128 is about 1952.2937836063.

The spelling of 7441072128 in words is "seven billion, four hundred forty-one million, seventy-two thousand, one hundred twenty-eight".