40422424400 has 120 divisors (see below), whose sum is σ = 98117023680. Its totient is φ = 16003025920.

The previous prime is 40422424333. The next prime is 40422424423. The reversal of 40422424400 is 442422404.

It is a self number, because there is not a number n which added to its sum of digits gives 40422424400.

It is a congruent number.

It is an unprimeable number.

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, 16681589 + ... + 16684011.

It is an arithmetic number, because the mean of its divisors is an integer number (817641864).

Almost surely, 2^40422424400 is an apocalyptic number.

40422424400 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 40422424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49058511840).

40422424400 is an abundant number, since it is smaller than the sum of its proper divisors (57694599280).

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

40422424400 is a wasteful number, since it uses less digits than its factorization.

40422424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 40422424400 its reverse (442422404), we get a palindrome (40864846804).

The spelling of 40422424400 in words is "forty billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred".