10402331130444 has 144 divisors (see below), whose sum is σ = 27678293350400. Its totient is φ = 3035205043200.

The previous prime is 10402331130419. The next prime is 10402331130481. The reversal of 10402331130444 is 44403113320401.

It is a super-3 number, since 3×10402331130444³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8376732 + ... + 9538044.

Almost surely, 2^{10402331130444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402331130444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839146675200).

10402331130444 is an abundant number, since it is smaller than the sum of its proper divisors (17275962219956).

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

10402331130444 is a wasteful number, since it uses less digits than its factorization.

10402331130444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161572 (or 1161559 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10402331130444 its reverse (44403113320401), we get a palindrome (54805444450845).

The spelling of 10402331130444 in words is "ten trillion, four hundred two billion, three hundred thirty-one million, one hundred thirty thousand, four hundred forty-four".