10020440432232 has 256 divisors, whose sum is σ = 29188228608000. Its totient is φ = 3181622976000.

The previous prime is 10020440432231. The next prime is 10020440432239. The reversal of 10020440432232 is 23223404402001.

10020440432232 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 4 + 404 + 3 + 2 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10020440432196 and 10020440432205.

It is not an unprimeable number, because it can be changed into a prime (10020440432231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1553312607 + ... + 1553319057.

It is an arithmetic number, because the mean of its divisors is an integer number (114016518000).

Almost surely, 2^{10020440432232} is an apocalyptic number.

10020440432232 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 10020440432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594114304000).

10020440432232 is an abundant number, since it is smaller than the sum of its proper divisors (19167788175768).

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

10020440432232 is a wasteful number, since it uses less digits than its factorization.

10020440432232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10629 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10020440432232 its reverse (23223404402001), we get a palindrome (33243844834233).

The spelling of 10020440432232 in words is "ten trillion, twenty billion, four hundred forty million, four hundred thirty-two thousand, two hundred thirty-two".