400820681214 has 96 divisors (see below), whose sum is σ = 903935635200. Its totient is φ = 128221516800.

The previous prime is 400820681203. The next prime is 400820681281. The reversal of 400820681214 is 412186028004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56283574 + ... + 56290694.

It is an arithmetic number, because the mean of its divisors is an integer number (9415996200).

Almost surely, 2^400820681214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400820681214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451967817600).

400820681214 is an abundant number, since it is smaller than the sum of its proper divisors (503114953986).

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

400820681214 is a wasteful number, since it uses less digits than its factorization.

400820681214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 400820681214 in words is "four hundred billion, eight hundred twenty million, six hundred eighty-one thousand, two hundred fourteen".