11144035404210 has 128 divisors (see below), whose sum is σ = 27442929475584. Its totient is φ = 2895285381120.

The previous prime is 11144035404167. The next prime is 11144035404217. The reversal of 11144035404210 is 1240453044111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11144035404217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306279679 + ... + 306316061.

It is an arithmetic number, because the mean of its divisors is an integer number (214397886528).

Almost surely, 2^{11144035404210} is an apocalyptic number.

11144035404210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144035404210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721464737792).

11144035404210 is an abundant number, since it is smaller than the sum of its proper divisors (16298894071374).

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

11144035404210 is a wasteful number, since it uses less digits than its factorization.

11144035404210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38128.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11144035404210 its reverse (1240453044111), we get a palindrome (12384488448321).

The spelling of 11144035404210 in words is "eleven trillion, one hundred forty-four billion, thirty-five million, four hundred four thousand, two hundred ten".