7048988000040 has 768 divisors, whose sum is σ = 25462082764800. Its totient is φ = 1555976024064.

The previous prime is 7048988000039. The next prime is 7048988000051. The reversal of 7048988000040 is 400008898407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4452929089 + ... + 4452930671.

It is an arithmetic number, because the mean of its divisors is an integer number (33153753600).

Almost surely, 2^{7048988000040} is an apocalyptic number.

7048988000040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7048988000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731041382400).

7048988000040 is an abundant number, since it is smaller than the sum of its proper divisors (18413094764760).

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

7048988000040 is a wasteful number, since it uses less digits than its factorization.

7048988000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 7048988000040 in words is "seven trillion, forty-eight billion, nine hundred eighty-eight million, forty", and thus it is an aban number.