40838589792 has 864 divisors, whose sum is σ = 161874236160. Its totient is φ = 9625512960.

The previous prime is 40838589791. The next prime is 40838589817. The reversal of 40838589792 is 29798583804.

40838589792 is a `hidden beast` number, since 40 + 8 + 3 + 8 + 589 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40838589791) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 692179459 + ... + 692179517.

It is an arithmetic number, because the mean of its divisors is an integer number (187354440).

Almost surely, 2^40838589792 is an apocalyptic number.

40838589792 is a gapful number since it is divisible by the number (42) 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 40838589792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80937118080).

40838589792 is an abundant number, since it is smaller than the sum of its proper divisors (121035646368).

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

40838589792 is a wasteful number, since it uses less digits than its factorization.

40838589792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 40838589792 in words is "forty billion, eight hundred thirty-eight million, five hundred eighty-nine thousand, seven hundred ninety-two".