40423440400 has 120 divisors (see below), whose sum is σ = 113353102080. Its totient is φ = 13564538880.

The previous prime is 40423440371. The next prime is 40423440427. The reversal of 40423440400 is 404432404.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21985 + ... + 285184.

It is an arithmetic number, because the mean of its divisors is an integer number (944609184).

Almost surely, 2^40423440400 is an apocalyptic number.

40423440400 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 40423440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56676551040).

40423440400 is an abundant number, since it is smaller than the sum of its proper divisors (72929661680).

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

40423440400 is a wasteful number, since it uses less digits than its factorization.

40423440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307241 (or 307230 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 40423440400 its reverse (404432404), we get a palindrome (40827872804).

The spelling of 40423440400 in words is "forty billion, four hundred twenty-three million, four hundred forty thousand, four hundred".