40586040144 has 300 divisors, whose sum is σ = 133532284116. Its totient is φ = 11828975616.

The previous prime is 40586040139. The next prime is 40586040151. The reversal of 40586040144 is 44104068504.

It is a happy number.

40586040144 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 604 + 0 + 1 + 44 = 666.

40586040144 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 2 ways, for example, as 3380259600 + 37205780544 = 58140^2 + 192888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40586040099 and 40586040108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6078792 + ... + 6085464.

Almost surely, 2^40586040144 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 40586040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66766142058).

40586040144 is an abundant number, since it is smaller than the sum of its proper divisors (92946243972).

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

40586040144 is a wasteful number, since it uses less digits than its factorization.

40586040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40586040144 in words is "forty billion, five hundred eighty-six million, forty thousand, one hundred forty-four".