7743444004040 has 64 divisors (see below), whose sum is σ = 18465829115760. Its totient is φ = 2912300892160.

The previous prime is 7743444003943. The next prime is 7743444004099. The reversal of 7743444004040 is 404004443477.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 402151295716 + 7341292708324 = 634154^2 + 2709482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4931801 + ... + 6309480.

Almost surely, 2^{7743444004040} is an apocalyptic number.

It is an amenable number.

7743444004040 is an abundant number, since it is smaller than the sum of its proper divisors (10722385111720).

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

7743444004040 is a wasteful number, since it uses less digits than its factorization.

7743444004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11242322 (or 11242318 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 41.

The spelling of 7743444004040 in words is "seven trillion, seven hundred forty-three billion, four hundred forty-four million, four thousand, forty".