10432413000 has 192 divisors, whose sum is σ = 35523137520. Its totient is φ = 2761344000.

The previous prime is 10432412987. The next prime is 10432413029. The reversal of 10432413000 is 31423401.

It can be written as a sum of positive squares in 8 ways, for example, as 1645600356 + 8786812644 = 40566^2 + 93738^2 .

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1228770 + ... + 1237230.

Almost surely, 2^10432413000 is an apocalyptic number.

10432413000 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 10432413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761568760).

10432413000 is an abundant number, since it is smaller than the sum of its proper divisors (25090724520).

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

10432413000 is a wasteful number, since it uses less digits than its factorization.

10432413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8625 (or 8608 counting only the distinct ones).

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

Adding to 10432413000 its reverse (31423401), we get a palindrome (10463836401).

The spelling of 10432413000 in words is "ten billion, four hundred thirty-two million, four hundred thirteen thousand".