40188680544 has 48 divisors (see below), whose sum is σ = 111700896048. Its totient is φ = 12608212992.

The previous prime is 40188680513. The next prime is 40188680557. The reversal of 40188680544 is 44508688104.

It is a happy number.

40188680544 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40188680493 and 40188680502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12311077 + ... + 12314340.

It is an arithmetic number, because the mean of its divisors is an integer number (2327102001).

Almost surely, 2^40188680544 is an apocalyptic number.

It is an amenable number.

40188680544 is an abundant number, since it is smaller than the sum of its proper divisors (71512215504).

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

40188680544 is a wasteful number, since it uses less digits than its factorization.

40188680544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24625447 (or 24625439 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 40188680544 in words is "forty billion, one hundred eighty-eight million, six hundred eighty thousand, five hundred forty-four".