40903136064 has 168 divisors, whose sum is σ = 135687368960. Its totient is φ = 11538588672.

The previous prime is 40903136063. The next prime is 40903136081. The reversal of 40903136064 is 46063130904.

40903136064 is a `hidden beast` number, since 40 + 9 + 0 + 3 + 1 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40903136063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254322 + ... + 382734.

Almost surely, 2^40903136064 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 40903136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67843684480).

40903136064 is an abundant number, since it is smaller than the sum of its proper divisors (94784232896).

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

40903136064 is a wasteful number, since it uses less digits than its factorization.

40903136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128517 (or 128504 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 40903136064 its reverse (46063130904), we get a palindrome (86966266968).

The spelling of 40903136064 in words is "forty billion, nine hundred three million, one hundred thirty-six thousand, sixty-four".