401314132121344 has 72 divisors (see below), whose sum is σ = 868470483736800. Its totient is φ = 183978806857728.

The previous prime is 401314132121197. The next prime is 401314132121369. The reversal of 401314132121344 is 443121231413104.

It is a super-2 number, since 2×401314132121344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404159092 + ... + 405150835.

It is an arithmetic number, because the mean of its divisors is an integer number (12062090051900).

Almost surely, 2^{401314132121344} is an apocalyptic number.

It is an amenable number.

401314132121344 is an abundant number, since it is smaller than the sum of its proper divisors (467156351615456).

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

401314132121344 is a wasteful number, since it uses less digits than its factorization.

401314132121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809310105 (or 809310091 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 401314132121344 its reverse (443121231413104), we get a palindrome (844435363534448).

The spelling of 401314132121344 in words is "four hundred one trillion, three hundred fourteen billion, one hundred thirty-two million, one hundred twenty-one thousand, three hundred forty-four".