40040040404400 has 120 divisors (see below), whose sum is σ = 135012206493120. Its totient is φ = 10115378622720.

The previous prime is 40040040404387. The next prime is 40040040404449. The reversal of 40040040404400 is 440404004004.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878048262 + ... + 878093861.

It is an arithmetic number, because the mean of its divisors is an integer number (1125101720776).

Almost surely, 2^{40040040404400} is an apocalyptic number.

40040040404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040040404400 is an abundant number, since it is smaller than the sum of its proper divisors (94972166088720).

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

40040040404400 is a wasteful number, since it uses less digits than its factorization.

40040040404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756142163 (or 1756142152 counting only the distinct ones).

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

Adding to 40040040404400 its reverse (440404004004), we get a palindrome (40480444408404).

The spelling of 40040040404400 in words is "forty trillion, forty billion, forty million, four hundred four thousand, four hundred".