40384018432 has 216 divisors, whose sum is σ = 89882268840. Its totient is φ = 18132172800.

The previous prime is 40384018397. The next prime is 40384018459. The reversal of 40384018432 is 23481048304.

It is a super-2 number, since 2×40384018432² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40384018391 and 40384018400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 568788957 + ... + 568789027.

It is an arithmetic number, because the mean of its divisors is an integer number (416121615).

Almost surely, 2^40384018432 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 40384018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44941134420).

40384018432 is an abundant number, since it is smaller than the sum of its proper divisors (49498250408).

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

40384018432 is an equidigital number, since it uses as much as digits as its factorization.

40384018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 40384018432 in words is "forty billion, three hundred eighty-four million, eighteen thousand, four hundred thirty-two".