40031001000 has 96 divisors (see below), whose sum is σ = 135304813800. Its totient is φ = 10674931200.

The previous prime is 40031000987. The next prime is 40031001001. The reversal of 40031001000 is 10013004.

It can be written as a sum of positive squares in 4 ways, for example, as 25893315396 + 14137685604 = 160914^2 + 118902^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (40031001001) by changing a digit.

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, 2214945 + ... + 2232944.

Almost surely, 2^40031001000 is an apocalyptic number.

40031001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40031001000 is an abundant number, since it is smaller than the sum of its proper divisors (95273812800).

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

40031001000 is a wasteful number, since it uses less digits than its factorization.

40031001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447916 (or 4447899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 40031001000 its reverse (10013004), we get a palindrome (40041014004).

The spelling of 40031001000 in words is "forty billion, thirty-one million, one thousand".