10402431030 has 192 divisors, whose sum is σ = 30436922880. Its totient is φ = 2452032000.

The previous prime is 10402431001. The next prime is 10402431037. The reversal of 10402431030 is 3013420401.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10402430994 and 10402431012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402431037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1609305 + ... + 1615755.

It is an arithmetic number, because the mean of its divisors is an integer number (158525640).

Almost surely, 2^10402431030 is an apocalyptic number.

10402431030 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 10402431030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15218461440).

10402431030 is an abundant number, since it is smaller than the sum of its proper divisors (20034491850).

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

10402431030 is a wasteful number, since it uses less digits than its factorization.

10402431030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6544 counting only the distinct ones).

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

Adding to 10402431030 its reverse (3013420401), we get a palindrome (13415851431).

The spelling of 10402431030 in words is "ten billion, four hundred two million, four hundred thirty-one thousand, thirty".