40040010000 has 675 divisors, whose sum is σ = 151600057609. Its totient is φ = 9860928000.

The previous prime is 40040009957. The next prime is 40040010041. The reversal of 40040010000 is 1004004.

The square root of 40040010000 is 200100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 29946994704 + 10093015296 = 173052^2 + 100464^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1380689986 + ... + 1380690014.

Almost surely, 2^40040010000 is an apocalyptic number.

40040010000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40040010000 is the 200100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40040010000

40040010000 is an abundant number, since it is smaller than the sum of its proper divisors (111560047609).

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

40040010000 is a wasteful number, since it uses less digits than its factorization.

40040010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Multiplying 40040010000 by its product of nonzero digits (16), we get a square (640640160000 = 800400²).

40040010000 divided by its product of nonzero digits (16) gives a square (2502500625 = 50025²).

Adding to 40040010000 its reverse (1004004), we get a palindrome (40041014004).

The spelling of 40040010000 in words is "forty billion, forty million, ten thousand".