10400123320 has 64 divisors (see below), whose sum is σ = 24855439680. Its totient is φ = 3902908416.

The previous prime is 10400123317. The next prime is 10400123359. The reversal of 10400123320 is 2332100401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10400123294 and 10400123303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191437 + ... + 239683.

It is an arithmetic number, because the mean of its divisors is an integer number (388366245).

Almost surely, 2^10400123320 is an apocalyptic number.

10400123320 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 10400123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427719840).

10400123320 is an abundant number, since it is smaller than the sum of its proper divisors (14455316360).

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

10400123320 is a wasteful number, since it uses less digits than its factorization.

10400123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48592 (or 48588 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10400123320 its reverse (2332100401), we get a palindrome (12732223721).

The spelling of 10400123320 in words is "ten billion, four hundred million, one hundred twenty-three thousand, three hundred twenty".