400201141314 has 128 divisors (see below), whose sum is σ = 878991886080. Its totient is φ = 120736972800.

The previous prime is 400201141289. The next prime is 400201141349. The reversal of 400201141314 is 413141102004.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 624338434 + ... + 624339074.

It is an arithmetic number, because the mean of its divisors is an integer number (6867124110).

Almost surely, 2^400201141314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400201141314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439495943040).

400201141314 is an abundant number, since it is smaller than the sum of its proper divisors (478790744766).

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

400201141314 is a wasteful number, since it uses less digits than its factorization.

400201141314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 400201141314 its reverse (413141102004), we get a palindrome (813342243318).

The spelling of 400201141314 in words is "four hundred billion, two hundred one million, one hundred forty-one thousand, three hundred fourteen".