40596992352 has 864 divisors, whose sum is σ = 153269625600. Its totient is φ = 10103740416.

The previous prime is 40596992297. The next prime is 40596992357. The reversal of 40596992352 is 25329969504.

It is a happy number.

40596992352 is a `hidden beast` number, since 40 + 596 + 9 + 9 + 2 + 3 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40596992357) 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 143 ways as a sum of consecutive naturals, for example, 178841263 + ... + 178841489.

It is an arithmetic number, because the mean of its divisors is an integer number (177395400).

Almost surely, 2^40596992352 is an apocalyptic number.

40596992352 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 40596992352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76634812800).

40596992352 is an abundant number, since it is smaller than the sum of its proper divisors (112672633248).

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

40596992352 is a wasteful number, since it uses less digits than its factorization.

40596992352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 40596992352 in words is "forty billion, five hundred ninety-six million, nine hundred ninety-two thousand, three hundred fifty-two".