40130440400 has 30 divisors (see below), whose sum is σ = 96413384022. Its totient is φ = 16052176000.

The previous prime is 40130440391. The next prime is 40130440487. The reversal of 40130440400 is 404403104.

It can be written as a sum of positive squares in 3 ways, for example, as 6459658384 + 33670782016 = 80372^2 + 183496^2 .

It is a super-2 number, since 2×40130440400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50162651 + ... + 50163450.

Almost surely, 2^40130440400 is an apocalyptic number.

40130440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40130440400 is an abundant number, since it is smaller than the sum of its proper divisors (56282943622).

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

40130440400 is a wasteful number, since it uses less digits than its factorization.

40130440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100326119 (or 100326108 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40130440400 its reverse (404403104), we get a palindrome (40534843504).

The spelling of 40130440400 in words is "forty billion, one hundred thirty million, four hundred forty thousand, four hundred".