10401314310 has 96 divisors (see below), whose sum is σ = 27372777120. Its totient is φ = 2740032000.

The previous prime is 10401314293. The next prime is 10401314347. The reversal of 10401314310 is 1341310401.

10401314310 is a `hidden beast` number, since 1 + 0 + 40 + 1 + 314 + 310 = 666.

It is a super-2 number, since 2×10401314310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5171205 + ... + 5173215.

It is an arithmetic number, because the mean of its divisors is an integer number (285133095).

Almost surely, 2^10401314310 is an apocalyptic number.

10401314310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686388560).

10401314310 is an abundant number, since it is smaller than the sum of its proper divisors (16971462810).

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

10401314310 is a wasteful number, since it uses less digits than its factorization.

10401314310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10401314310 its reverse (1341310401), we get a palindrome (11742624711).

The spelling of 10401314310 in words is "ten billion, four hundred one million, three hundred fourteen thousand, three hundred ten".