40788015648 has 24 divisors (see below), whose sum is σ = 107068541328. Its totient is φ = 13596005184.

The previous prime is 40788015617. The next prime is 40788015707. The reversal of 40788015648 is 84651088704.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×40788015648³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40788015648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212437486 + ... + 212437677.

It is an arithmetic number, because the mean of its divisors is an integer number (4461189222).

Almost surely, 2^40788015648 is an apocalyptic number.

40788015648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40788015648 is an abundant number, since it is smaller than the sum of its proper divisors (66280525680).

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

40788015648 is a wasteful number, since it uses less digits than its factorization.

40788015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424875176 (or 424875168 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 40788015648 in words is "forty billion, seven hundred eighty-eight million, fifteen thousand, six hundred forty-eight".