400046681214144 has 560 divisors, whose sum is σ = 1203077770725600. Its totient is φ = 131423805849600.

The previous prime is 400046681214137. The next prime is 400046681214149. The reversal of 400046681214144 is 441412186640004.

400046681214144 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 466 + 8 + 1 + 2 + 141 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400046681214144.

It is not an unprimeable number, because it can be changed into a prime (400046681214149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 325505842522 + ... + 325505843750.

It is an arithmetic number, because the mean of its divisors is an integer number (2148353162010).

Almost surely, 2^{400046681214144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400046681214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601538885362800).

400046681214144 is an abundant number, since it is smaller than the sum of its proper divisors (803031089511456).

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

400046681214144 is a wasteful number, since it uses less digits than its factorization.

400046681214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 400046681214144 in words is "four hundred trillion, forty-six billion, six hundred eighty-one million, two hundred fourteen thousand, one hundred forty-four".