7442289030528 has 640 divisors, whose sum is σ = 25243675142400. Its totient is φ = 2154485329920.

The previous prime is 7442289030511. The next prime is 7442289030541. The reversal of 7442289030528 is 8250309822447.

7442289030528 is a `hidden beast` number, since 7 + 4 + 4 + 2 + 2 + 89 + 0 + 30 + 528 = 666.

It is a super-3 number, since 3×7442289030528³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3181823983 + ... + 3181826321.

It is an arithmetic number, because the mean of its divisors is an integer number (39443242410).

Almost surely, 2^{7442289030528} 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 7442289030528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621837571200).

7442289030528 is an abundant number, since it is smaller than the sum of its proper divisors (17801386111872).

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

7442289030528 is a wasteful number, since it uses less digits than its factorization.

7442289030528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 7442289030528 in words is "seven trillion, four hundred forty-two billion, two hundred eighty-nine million, thirty thousand, five hundred twenty-eight".