7443987071040 has 336 divisors, whose sum is σ = 27694210143600. Its totient is φ = 1824362348544.

The previous prime is 7443987071039. The next prime is 7443987071093. The reversal of 7443987071040 is 401707893447.

7443987071040 is a `hidden beast` number, since 7 + 443 + 98 + 7 + 0 + 7 + 104 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 244811206656 + 7199175864384 = 494784^2 + 2683128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8139646 + ... + 9007874.

It is an arithmetic number, because the mean of its divisors is an integer number (82423244475).

Almost surely, 2^{7443987071040} 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 7443987071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847105071800).

7443987071040 is an abundant number, since it is smaller than the sum of its proper divisors (20250223072560).

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

7443987071040 is a wasteful number, since it uses less digits than its factorization.

7443987071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868494 (or 868481 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 7443987071040 in words is "seven trillion, four hundred forty-three billion, nine hundred eighty-seven million, seventy-one thousand, forty".