10441152631040 has 72 divisors (see below), whose sum is σ = 25012390901400. Its totient is φ = 4176032301056.

The previous prime is 10441152631027. The next prime is 10441152631051. The reversal of 10441152631040 is 4013625114401.

It can be written as a sum of positive squares in 4 ways, for example, as 3049801191424 + 7391351439616 = 1746368^2 + 2718704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10441152630988 and 10441152631006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12203186 + ... + 13030734.

It is an arithmetic number, because the mean of its divisors is an integer number (347394318075).

Almost surely, 2^{10441152631040} is an apocalyptic number.

10441152631040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441152631040 is an abundant number, since it is smaller than the sum of its proper divisors (14571238270360).

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

10441152631040 is an frugal number, since it uses more digits than its factorization.

10441152631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837427 (or 837413 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 10441152631040 its reverse (4013625114401), we get a palindrome (14454777745441).

The spelling of 10441152631040 in words is "ten trillion, four hundred forty-one billion, one hundred fifty-two million, six hundred thirty-one thousand, forty".