40866637824 has 288 divisors, whose sum is σ = 128061690120. Its totient is φ = 12504268800.

The previous prime is 40866637753. The next prime is 40866637831. The reversal of 40866637824 is 42873666804.

It can be written as a sum of positive squares in 4 ways, for example, as 20597990400 + 20268647424 = 143520^2 + 142368^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12845514 + ... + 12848694.

Almost surely, 2^40866637824 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 40866637824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64030845060).

40866637824 is an abundant number, since it is smaller than the sum of its proper divisors (87195052296).

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

40866637824 is a wasteful number, since it uses less digits than its factorization.

40866637824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 40866637824 in words is "forty billion, eight hundred sixty-six million, six hundred thirty-seven thousand, eight hundred twenty-four".