40518432045 has 384 divisors, whose sum is σ = 95405506560. Its totient is φ = 15430072320.

The previous prime is 40518432041. The next prime is 40518432047. The reversal of 40518432045 is 54023481504.

It is a happy number.

40518432045 is a `hidden beast` number, since 40 + 518 + 43 + 20 + 45 = 666.

It is not a de Polignac number, because 40518432045 - 2² = 40518432041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40518432041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 258079107 + ... + 258079263.

It is an arithmetic number, because the mean of its divisors is an integer number (248451840).

Almost surely, 2^40518432045 is an apocalyptic number.

40518432045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40518432045 is an abundant number, since it is smaller than the sum of its proper divisors (54887074515).

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

40518432045 is a wasteful number, since it uses less digits than its factorization.

40518432045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40518432045 in words is "forty billion, five hundred eighteen million, four hundred thirty-two thousand, forty-five".