40400400400404 has 192 divisors, whose sum is σ = 105198226882560. Its totient is φ = 11963388602880.

The previous prime is 40400400400403. The next prime is 40400400400441.

40400400400404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40400400400403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6012855757 + ... + 6012862475.

It is an arithmetic number, because the mean of its divisors is an integer number (547907431680).

Almost surely, 2^{40400400400404} is an apocalyptic number.

40400400400404 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 40400400400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52599113441280).

40400400400404 is an abundant number, since it is smaller than the sum of its proper divisors (64797826482156).

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

40400400400404 is a wasteful number, since it uses less digits than its factorization.

40400400400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110 (or 10108 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, 40400400 and 400404, that added together give a palindrome (40800804).

The spelling of 40400400400404 in words is "forty trillion, four hundred billion, four hundred million, four hundred thousand, four hundred four".