401306310144 has 160 divisors (see below), whose sum is σ = 1216869302880. Its totient is φ = 130505932800.

The previous prime is 401306310131. The next prime is 401306310151. The reversal of 401306310144 is 441013603104.

401306310144 is a `hidden beast` number, since 4 + 0 + 1 + 306 + 310 + 1 + 44 = 666.

It is a super-2 number, since 2×401306310144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 212764 + ... + 920804.

It is an arithmetic number, because the mean of its divisors is an integer number (7605433143).

Almost surely, 2^401306310144 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 401306310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608434651440).

401306310144 is an abundant number, since it is smaller than the sum of its proper divisors (815562992736).

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

401306310144 is an equidigital number, since it uses as much as digits as its factorization.

401306310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708109 (or 708087 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 401306310144 its reverse (441013603104), we get a palindrome (842319913248).

The spelling of 401306310144 in words is "four hundred one billion, three hundred six million, three hundred ten thousand, one hundred forty-four".