7741442028000 has 384 divisors, whose sum is σ = 26639013832704. Its totient is φ = 1961541120000.

The previous prime is 7741442027989. The next prime is 7741442028011. The reversal of 7741442028000 is 8202441477.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7741442027989) and next prime (7741442028011).

It is a self number, because there is not a number n which added to its sum of digits gives 7741442028000.

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, 41583124 + ... + 41768876.

It is an arithmetic number, because the mean of its divisors is an integer number (69372431856).

Almost surely, 2^{7741442028000} 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 7741442028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319506916352).

7741442028000 is an abundant number, since it is smaller than the sum of its proper divisors (18897571804704).

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

7741442028000 is a wasteful number, since it uses less digits than its factorization.

7741442028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185955 (or 185937 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

Adding to 7741442028000 its reverse (8202441477), we get a palindrome (7749644469477).

The spelling of 7741442028000 in words is "seven trillion, seven hundred forty-one billion, four hundred forty-two million, twenty-eight thousand".