10032340032 has 336 divisors, whose sum is σ = 34881799680. Its totient is φ = 2715033600.

The previous prime is 10032340027. The next prime is 10032340079. The reversal of 10032340032 is 23004323001.

It is a super-2 number, since 2×10032340032² (a number of 21 digits) contains 22 as substring.

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 = 10032339987 and 10032340014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551444 + ... + 2555372.

It is an arithmetic number, because the mean of its divisors is an integer number (103814880).

Almost surely, 2^10032340032 is an apocalyptic number.

10032340032 is a gapful number since it is divisible by the number (12) 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 10032340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440899840).

10032340032 is an abundant number, since it is smaller than the sum of its proper divisors (24849459648).

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

10032340032 is a wasteful number, since it uses less digits than its factorization.

10032340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10032340032 its reverse (23004323001), we get a palindrome (33036663033).

The spelling of 10032340032 in words is "ten billion, thirty-two million, three hundred forty thousand, thirty-two".