40204022040204 has 192 divisors, whose sum is σ = 104957736049152. Its totient is φ = 11875800268800.

The previous prime is 40204022040199. The next prime is 40204022040251.

40204022040204 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299602884 + ... + 299737044.

It is an arithmetic number, because the mean of its divisors is an integer number (546654875256).

Almost surely, 2^{40204022040204} is an apocalyptic number.

40204022040204 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 40204022040204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52478868024576).

40204022040204 is an abundant number, since it is smaller than the sum of its proper divisors (64753714008948).

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

40204022040204 is a wasteful number, since it uses less digits than its factorization.

40204022040204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134616 (or 134614 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 4020402 and 2040204, that added together give a palindrome (6060606).

The spelling of 40204022040204 in words is "forty trillion, two hundred four billion, twenty-two million, forty thousand, two hundred four".