400412101214004 has 36 divisors (see below), whose sum is σ = 1026952248571872. Its totient is φ = 121337000367440.

The previous prime is 400412101214003. The next prime is 400412101214017.

400412101214004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×400412101214004² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400412101214003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137882953512 + ... + 137882956415.

Almost surely, 2^{400412101214004} is an apocalyptic number.

400412101214004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400412101214004 is an abundant number, since it is smaller than the sum of its proper divisors (626540147357868).

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

400412101214004 is a wasteful number, since it uses less digits than its factorization.

400412101214004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275765909956 (or 275765909943 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 40041210 and 1214004, that added together give a palindrome (41255214).

The spelling of 400412101214004 in words is "four hundred trillion, four hundred twelve billion, one hundred one million, two hundred fourteen thousand, four".