40343400400 has 120 divisors (see below), whose sum is σ = 102716907840. Its totient is φ = 15174727680.

The previous prime is 40343400379. The next prime is 40343400407. The reversal of 40343400400 is 400434304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40343400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11333821 + ... + 11337379.

It is an arithmetic number, because the mean of its divisors is an integer number (855974232).

Almost surely, 2^40343400400 is an apocalyptic number.

40343400400 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 40343400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51358453920).

40343400400 is an abundant number, since it is smaller than the sum of its proper divisors (62373507440).

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

40343400400 is a wasteful number, since it uses less digits than its factorization.

40343400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40343400400 its reverse (400434304), we get a palindrome (40743834704).

The spelling of 40343400400 in words is "forty billion, three hundred forty-three million, four hundred thousand, four hundred".