40010000000 has 128 divisors (see below), whose sum is σ = 99658924560. Its totient is φ = 16000000000.

The previous prime is 40009999963. The next prime is 40010000011. The reversal of 40010000000 is 1004.

It can be written as a sum of positive squares in 8 ways, for example, as 40009600576 + 399424 = 200024^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (5).

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

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 15 ways as a sum of consecutive naturals, for example, 9998000 + ... + 10002000.

Almost surely, 2^40010000000 is an apocalyptic number.

40010000000 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 40010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49829462280).

40010000000 is an abundant number, since it is smaller than the sum of its proper divisors (59648924560).

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

40010000000 is an frugal number, since it uses more digits than its factorization.

40010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 40010000000 its reverse (1004), we get a palindrome (40010001004).

The spelling of 40010000000 in words is "forty billion, ten million", and thus it is an aban number and an uban number.