40221002304 has 672 divisors, whose sum is σ = 146769831936. Its totient is φ = 10659962880.

The previous prime is 40221002299. The next prime is 40221002333. The reversal of 40221002304 is 40320012204.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 190620759 + ... + 190620969.

It is an arithmetic number, because the mean of its divisors is an integer number (218407488).

Almost surely, 2^40221002304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73384915968).

40221002304 is an abundant number, since it is smaller than the sum of its proper divisors (106548829632).

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

40221002304 is a wasteful number, since it uses less digits than its factorization.

40221002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40221002304 its reverse (40320012204), we get a palindrome (80541014508).

The spelling of 40221002304 in words is "forty billion, two hundred twenty-one million, two thousand, three hundred four".