40400323400 has 96 divisors (see below), whose sum is σ = 101394849600. Its totient is φ = 14924448000.

The previous prime is 40400323391. The next prime is 40400323417. The reversal of 40400323400 is 432300404.

It is a happy number.

It is a super-2 number, since 2×40400323400² (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 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 23 ways as a sum of consecutive naturals, for example, 18026 + ... + 284825.

It is an arithmetic number, because the mean of its divisors is an integer number (1056196350).

Almost surely, 2^40400323400 is an apocalyptic number.

40400323400 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 40400323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50697424800).

40400323400 is an abundant number, since it is smaller than the sum of its proper divisors (60994526200).

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

40400323400 is a wasteful number, since it uses less digits than its factorization.

40400323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302919 (or 302910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40400323400 its reverse (432300404), we get a palindrome (40832623804).

The spelling of 40400323400 in words is "forty billion, four hundred million, three hundred twenty-three thousand, four hundred".