40310001792 has 192 divisors, whose sum is σ = 123312828600. Its totient is φ = 12595494912.

The previous prime is 40310001751. The next prime is 40310001887. The reversal of 40310001792 is 29710001304.

It can be written as a sum of positive squares in 4 ways, for example, as 39289582656 + 1020419136 = 198216^2 + 31944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×40310001792² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5029084 + ... + 5037092.

Almost surely, 2^40310001792 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 40310001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61656414300).

40310001792 is an abundant number, since it is smaller than the sum of its proper divisors (83002826808).

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

40310001792 is a wasteful number, since it uses less digits than its factorization.

40310001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 40310001792 in words is "forty billion, three hundred ten million, one thousand, seven hundred ninety-two".