40033424000 has 64 divisors (see below), whose sum is σ = 99533140200. Its totient is φ = 16013363200.

The previous prime is 40033423999. The next prime is 40033424003. The reversal of 40033424000 is 42433004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1300035136 + 38733388864 = 36056^2 + 196808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (40033424003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1235045 + ... + 1267044.

Almost surely, 2^40033424000 is an apocalyptic number.

40033424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40033424000 is an abundant number, since it is smaller than the sum of its proper divisors (59499716200).

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

40033424000 is an equidigital number, since it uses as much as digits as its factorization.

40033424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502118 (or 2502096 counting only the distinct ones).

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

Adding to 40033424000 its reverse (42433004), we get a palindrome (40075857004).

The spelling of 40033424000 in words is "forty billion, thirty-three million, four hundred twenty-four thousand".