10011144431040 has 224 divisors, whose sum is σ = 32326032075264. Its totient is φ = 2624446648320.

The previous prime is 10011144431039. The next prime is 10011144431069. The reversal of 10011144431040 is 4013444111001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10011144431040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23439882 + ... + 23863158.

Almost surely, 2^{10011144431040} is an apocalyptic number.

10011144431040 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 10011144431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163016037632).

10011144431040 is an abundant number, since it is smaller than the sum of its proper divisors (22314887644224).

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

10011144431040 is a wasteful number, since it uses less digits than its factorization.

10011144431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423715 (or 423705 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10011144431040 its reverse (4013444111001), we get a palindrome (14024588542041).

The spelling of 10011144431040 in words is "ten trillion, eleven billion, one hundred forty-four million, four hundred thirty-one thousand, forty".