40204424000 has 336 divisors, whose sum is σ = 109115937216. Its totient is φ = 14666496000.

The previous prime is 40204423999. The next prime is 40204424017. The reversal of 40204424000 is 42440204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177111887 + ... + 177112113.

Almost surely, 2^40204424000 is an apocalyptic number.

40204424000 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 40204424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54557968608).

40204424000 is an abundant number, since it is smaller than the sum of its proper divisors (68911513216).

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

40204424000 is a wasteful number, since it uses less digits than its factorization.

40204424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40204424000 its reverse (42440204), we get a palindrome (40246864204).

The spelling of 40204424000 in words is "forty billion, two hundred four million, four hundred twenty-four thousand".