400011110004 has 96 divisors (see below), whose sum is σ = 1077996648960. Its totient is φ = 114171811200.

The previous prime is 400011109999. The next prime is 400011110021.

400011110004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27082 + ... + 894849.

It is an arithmetic number, because the mean of its divisors is an integer number (11229131760).

Almost surely, 2^400011110004 is an apocalyptic number.

400011110004 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 400011110004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538998324480).

400011110004 is an abundant number, since it is smaller than the sum of its proper divisors (677985538956).

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

400011110004 is a wasteful number, since it uses less digits than its factorization.

400011110004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922141 (or 922139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 400011 and 110004, that added together give a palindrome (510015).

The spelling of 400011110004 in words is "four hundred billion, eleven million, one hundred ten thousand, four".