40031410000 has 100 divisors (see below), whose sum is σ = 99540427492. Its totient is φ = 15579648000.

The previous prime is 40031409961. The next prime is 40031410043. The reversal of 40031410000 is 1413004.

It can be written as a sum of positive squares in 10 ways, for example, as 22540818496 + 17490591504 = 150136^2 + 132252^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 315904 + ... + 424096.

Almost surely, 2^40031410000 is an apocalyptic number.

40031410000 is a gapful number since it is divisible by the number (40) 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 40031410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49770213746).

40031410000 is an abundant number, since it is smaller than the sum of its proper divisors (59509017492).

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

40031410000 is a wasteful number, since it uses less digits than its factorization.

40031410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108258 (or 108237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 40031410000 its reverse (1413004), we get a palindrome (40032823004).

The spelling of 40031410000 in words is "forty billion, thirty-one million, four hundred ten thousand".