40688460044544 has 288 divisors, whose sum is σ = 119795520216960. Its totient is φ = 12178829869056.

The previous prime is 40688460044521. The next prime is 40688460044569. The reversal of 40688460044544 is 44544006488604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3541508752 + ... + 3541520240.

It is an arithmetic number, because the mean of its divisors is an integer number (415956667420).

Almost surely, 2^{40688460044544} 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 40688460044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59897760108480).

40688460044544 is an abundant number, since it is smaller than the sum of its proper divisors (79107060172416).

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

40688460044544 is a wasteful number, since it uses less digits than its factorization.

40688460044544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21145 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 57.

The spelling of 40688460044544 in words is "forty trillion, six hundred eighty-eight billion, four hundred sixty million, forty-four thousand, five hundred forty-four".