11402100444 has 96 divisors (see below), whose sum is σ = 30888345600. Its totient is φ = 3206185920.

The previous prime is 11402100439. The next prime is 11402100487. The reversal of 11402100444 is 44400120411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11402100444.

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, 4286787 + ... + 4289445.

It is an arithmetic number, because the mean of its divisors is an integer number (321753600).

Almost surely, 2^11402100444 is an apocalyptic number.

11402100444 is a gapful number since it is divisible by the number (14) 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 11402100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444172800).

11402100444 is an abundant number, since it is smaller than the sum of its proper divisors (19486245156).

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

11402100444 is a wasteful number, since it uses less digits than its factorization.

11402100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11402100444 its reverse (44400120411), we get a palindrome (55802220855).

The spelling of 11402100444 in words is "eleven billion, four hundred two million, one hundred thousand, four hundred forty-four".