400112211004 has 48 divisors (see below), whose sum is σ = 809061323616. Its totient is φ = 171112089600.

The previous prime is 400112210951. The next prime is 400112211007.

It is a happy number.

400112211004 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 (400112211007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2118274 + ... + 2299414.

It is an arithmetic number, because the mean of its divisors is an integer number (16855444242).

Almost surely, 2^400112211004 is an apocalyptic number.

400112211004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400112211004 is an abundant number, since it is smaller than the sum of its proper divisors (408949112612).

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

400112211004 is a wasteful number, since it uses less digits than its factorization.

400112211004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184126 (or 184124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 400112 and 211004, that added together give a palindrome (611116).

The spelling of 400112211004 in words is "four hundred billion, one hundred twelve million, two hundred eleven thousand, four".