40130040400 has 60 divisors (see below), whose sum is σ = 96431748732. Its totient is φ = 16048798720.

The previous prime is 40130040367. The next prime is 40130040403. The reversal of 40130040400 is 404003104.

It can be written as a sum of positive squares in 6 ways, for example, as 1095345216 + 39034695184 = 33096^2 + 197572^2 .

It is a super-2 number, since 2×40130040400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130040403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663732 + ... + 3674668.

Almost surely, 2^40130040400 is an apocalyptic number.

40130040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40130040400 is an abundant number, since it is smaller than the sum of its proper divisors (56301708332).

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

40130040400 is a wasteful number, since it uses less digits than its factorization.

40130040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20128 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40130040400 its reverse (404003104), we get a palindrome (40534043504).

The spelling of 40130040400 in words is "forty billion, one hundred thirty million, forty thousand, four hundred".