10401430320 has 140 divisors (see below), whose sum is σ = 36258604896. Its totient is φ = 2773699200.

The previous prime is 10401430309. The next prime is 10401430321. The reversal of 10401430320 is 2303410401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10401430293 and 10401430302.

It is not an unprimeable number, because it can be changed into a prime (10401430321) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 30856 + ... + 147495.

Almost surely, 2^10401430320 is an apocalyptic number.

10401430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129302448).

10401430320 is an abundant number, since it is smaller than the sum of its proper divisors (25857174576).

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

10401430320 is an equidigital number, since it uses as much as digits as its factorization.

10401430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178382 (or 178361 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10401430320 its reverse (2303410401), we get a palindrome (12704840721).

The spelling of 10401430320 in words is "ten billion, four hundred one million, four hundred thirty thousand, three hundred twenty".