40284448204 has 486 divisors, whose sum is σ = 107406546660. Its totient is φ = 13128635520.

The previous prime is 40284448201. The next prime is 40284448213.

40284448204 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40284448201) by changing a digit.

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 161 ways as a sum of consecutive naturals, for example, 1751497737 + ... + 1751497759.

Almost surely, 2^40284448204 is an apocalyptic number.

40284448204 is a gapful number since it is divisible by the number (44) 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 40284448204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703273330).

40284448204 is an abundant number, since it is smaller than the sum of its proper divisors (67122098456).

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

40284448204 is a wasteful number, since it uses less digits than its factorization.

40284448204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 40284448204 in words is "forty billion, two hundred eighty-four million, four hundred forty-eight thousand, two hundred four".