40384117620 has 768 divisors, whose sum is σ = 164079820800. Its totient is φ = 8000778240.

The previous prime is 40384117589. The next prime is 40384117621. The reversal of 40384117620 is 2671148304.

40384117620 is a `hidden beast` number, since 403 + 84 + 1 + 176 + 2 + 0 = 666.

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 (40384117621) 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 255 ways as a sum of consecutive naturals, for example, 129022584 + ... + 129022896.

It is an arithmetic number, because the mean of its divisors is an integer number (213645600).

Almost surely, 2^40384117620 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 40384117620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82039910400).

40384117620 is an abundant number, since it is smaller than the sum of its proper divisors (123695703180).

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

40384117620 is a wasteful number, since it uses less digits than its factorization.

40384117620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40384117620 in words is "forty billion, three hundred eighty-four million, one hundred seventeen thousand, six hundred twenty".