40131310400 has 168 divisors, whose sum is σ = 103090187520. Its totient is φ = 15358464000.

The previous prime is 40131310399. The next prime is 40131310403. The reversal of 40131310400 is 401313104.

It is a super-2 number, since 2×40131310400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131310403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4409855 + ... + 4418945.

Almost surely, 2^40131310400 is an apocalyptic number.

40131310400 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 40131310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51545093760).

40131310400 is an abundant number, since it is smaller than the sum of its proper divisors (62958877120).

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

40131310400 is a wasteful number, since it uses less digits than its factorization.

40131310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 40131310400 its reverse (401313104), we get a palindrome (40532623504).

40131310400 divided by its reverse (401313104) gives a square (100 = 10²).

The spelling of 40131310400 in words is "forty billion, one hundred thirty-one million, three hundred ten thousand, four hundred".