10402123320 has 192 divisors, whose sum is σ = 34618147200. Its totient is φ = 2708121600.

The previous prime is 10402123283. The next prime is 10402123327. The reversal of 10402123320 is 2332120401.

10402123320 is a `hidden beast` number, since 10 + 402 + 1 + 233 + 20 = 666.

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 = 10402123293 and 10402123302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402123327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2652321 + ... + 2656239.

It is an arithmetic number, because the mean of its divisors is an integer number (180302850).

Almost surely, 2^10402123320 is an apocalyptic number.

10402123320 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 10402123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309073600).

10402123320 is an abundant number, since it is smaller than the sum of its proper divisors (24216023880).

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

10402123320 is a wasteful number, since it uses less digits than its factorization.

10402123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4103 counting only the distinct ones).

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

Adding to 10402123320 its reverse (2332120401), we get a palindrome (12734243721).

The spelling of 10402123320 in words is "ten billion, four hundred two million, one hundred twenty-three thousand, three hundred twenty".