10032400032 has 48 divisors (see below), whose sum is σ = 26437586112. Its totient is φ = 3331112960.

The previous prime is 10032399967. The next prime is 10032400033. The reversal of 10032400032 is 23000423001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10032400032³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10032399984 and 10032400020.

It is not an unprimeable number, because it can be changed into a prime (10032400033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178644 + ... + 227987.

It is an arithmetic number, because the mean of its divisors is an integer number (550783044).

Almost surely, 2^10032400032 is an apocalyptic number.

10032400032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032400032 is an abundant number, since it is smaller than the sum of its proper divisors (16405186080).

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

10032400032 is a wasteful number, since it uses less digits than its factorization.

10032400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406901 (or 406893 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10032400032 its reverse (23000423001), we get a palindrome (33032823033).

The spelling of 10032400032 in words is "ten billion, thirty-two million, four hundred thousand, thirty-two".