40384194760 has 768 divisors, whose sum is σ = 127414425600. Its totient is φ = 11379916800.

The previous prime is 40384194749. The next prime is 40384194761. The reversal of 40384194760 is 6749148304.

It is a super-2 number, since 2×40384194760² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40384194760.

It is not an unprimeable number, because it can be changed into a prime (40384194761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 939167299 + ... + 939167341.

It is an arithmetic number, because the mean of its divisors is an integer number (165904200).

Almost surely, 2^40384194760 is an apocalyptic number.

40384194760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40384194760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63707212800).

40384194760 is an abundant number, since it is smaller than the sum of its proper divisors (87030230840).

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

40384194760 is a wasteful number, since it uses less digits than its factorization.

40384194760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 40384194760 in words is "forty billion, three hundred eighty-four million, one hundred ninety-four thousand, seven hundred sixty".