40688668880 has 80 divisors (see below), whose sum is σ = 99231934464. Its totient is φ = 15486197760.

The previous prime is 40688668877. The next prime is 40688668901. The reversal of 40688668880 is 8886688604.

40688668880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 293552 + ... + 409328.

Almost surely, 2^40688668880 is an apocalyptic number.

40688668880 is a gapful number since it is divisible by the number (40) 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 40688668880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49615967232).

40688668880 is an abundant number, since it is smaller than the sum of its proper divisors (58543265584).

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

40688668880 is a wasteful number, since it uses less digits than its factorization.

40688668880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116004 (or 115998 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 62.

The spelling of 40688668880 in words is "forty billion, six hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred eighty".