10032044040020 has 24 divisors (see below), whose sum is σ = 21098596067304. Its totient is φ = 4006855028736.

The previous prime is 10032044039993. The next prime is 10032044040023. The reversal of 10032044040020 is 2004044023001.

It can be written as a sum of positive squares in 4 ways, for example, as 52041796 + 10031991998224 = 7214^2 + 3167332^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10032044039974 and 10032044040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032044040023) 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, 372647909 + ... + 372674828.

It is an arithmetic number, because the mean of its divisors is an integer number (879108169471).

Almost surely, 2^{10032044040020} is an apocalyptic number.

10032044040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032044040020 is an abundant number, since it is smaller than the sum of its proper divisors (11066552027284).

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

10032044040020 is a wasteful number, since it uses less digits than its factorization.

10032044040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745323419 (or 745323417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10032044040020 its reverse (2004044023001), we get a palindrome (12036088063021).

The spelling of 10032044040020 in words is "ten trillion, thirty-two billion, forty-four million, forty thousand, twenty".