40728682704 has 80 divisors (see below), whose sum is σ = 107222423040. Its totient is φ = 13318266240.

The previous prime is 40728682669. The next prime is 40728682717.

It is a happy number.

40728682704 is nontrivially palindromic in base 10.

40728682704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 1364419 + ... + 1393949.

It is an arithmetic number, because the mean of its divisors is an integer number (1340280288).

Almost surely, 2^40728682704 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 40728682704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53611211520).

40728682704 is an abundant number, since it is smaller than the sum of its proper divisors (66493740336).

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

40728682704 is a wasteful number, since it uses less digits than its factorization.

40728682704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30088 (or 30082 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 40728682704 in words is "forty billion, seven hundred twenty-eight million, six hundred eighty-two thousand, seven hundred four".