40288729056 has 96 divisors (see below), whose sum is σ = 116164419840. Its totient is φ = 12169580544.

The previous prime is 40288729021. The next prime is 40288729057. The reversal of 40288729056 is 65092788204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40288729056² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40288729057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438225 + ... + 522128.

It is an arithmetic number, because the mean of its divisors is an integer number (1210046040).

Almost surely, 2^40288729056 is an apocalyptic number.

40288729056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40288729056 is an abundant number, since it is smaller than the sum of its proper divisors (75875690784).

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

40288729056 is a wasteful number, since it uses less digits than its factorization.

40288729056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960408 (or 960400 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 40288729056 in words is "forty billion, two hundred eighty-eight million, seven hundred twenty-nine thousand, fifty-six".