10441211431040 has 384 divisors, whose sum is σ = 27943349187600. Its totient is φ = 3726508032000.

The previous prime is 10441211430997. The next prime is 10441211431051. The reversal of 10441211431040 is 4013411214401.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1687234732096 + 8753976698944 = 1298936^2 + 2958712^2 .

It is a super-2 number, since 2×10441211431040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483356240 + ... + 483377840.

Almost surely, 2^{10441211431040} is an apocalyptic number.

10441211431040 is a gapful number since it is divisible by the number (10) 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 10441211431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971674593800).

10441211431040 is an abundant number, since it is smaller than the sum of its proper divisors (17502137756560).

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

10441211431040 is a wasteful number, since it uses less digits than its factorization.

10441211431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21796 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10441211431040 its reverse (4013411214401), we get a palindrome (14454622645441).

The spelling of 10441211431040 in words is "ten trillion, four hundred forty-one billion, two hundred eleven million, four hundred thirty-one thousand, forty".