40686736840 has 64 divisors (see below), whose sum is σ = 93317540400. Its totient is φ = 15959903232.

The previous prime is 40686736829. The next prime is 40686736859. The reversal of 40686736840 is 4863768604.

It is a happy number.

40686736840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3686675524 + 37000061316 = 60718^2 + 192354^2 .

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, 6587994 + ... + 6594166.

Almost surely, 2^40686736840 is an apocalyptic number.

40686736840 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 40686736840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46658770200).

40686736840 is an abundant number, since it is smaller than the sum of its proper divisors (52630803560).

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

40686736840 is a wasteful number, since it uses less digits than its factorization.

40686736840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 40686736840 in words is "forty billion, six hundred eighty-six million, seven hundred thirty-six thousand, eight hundred forty".