400434131114144 has 48 divisors (see below), whose sum is σ = 794003418641160. Its totient is φ = 198786078305280.

The previous prime is 400434131114141. The next prime is 400434131114153. The reversal of 400434131114144 is 441411131434004.

It can be written as a sum of positive squares in 4 ways, for example, as 24679632979600 + 375754498134544 = 4967860^2 + 19384388^2 .

It is a super-2 number, since 2×400434131114144² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400434131114141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52840799 + ... + 59941790.

Almost surely, 2^{400434131114144} is an apocalyptic number.

It is an amenable number.

400434131114144 is a deficient number, since it is larger than the sum of its proper divisors (393569287527016).

400434131114144 is a wasteful number, since it uses less digits than its factorization.

400434131114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112783393 (or 112783385 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 400434131114144 its reverse (441411131434004), we get a palindrome (841845262548148).

The spelling of 400434131114144 in words is "four hundred trillion, four hundred thirty-four billion, one hundred thirty-one million, one hundred fourteen thousand, one hundred forty-four".