1404111268224 has 192 divisors, whose sum is σ = 4618402308000. Its totient is φ = 401112539136.

The previous prime is 1404111268223. The next prime is 1404111268229. The reversal of 1404111268224 is 4228621114041.

1404111268224 is a `hidden beast` number, since 1 + 4 + 0 + 411 + 12 + 6 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1404111268224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404111268223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86510542 + ... + 86526770.

Almost surely, 2^{1404111268224} is an apocalyptic number.

1404111268224 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 1404111268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309201154000).

1404111268224 is an abundant number, since it is smaller than the sum of its proper divisors (3214291039776).

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

1404111268224 is a wasteful number, since it uses less digits than its factorization.

1404111268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26985 (or 26970 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1404111268224 in words is "one trillion, four hundred four billion, one hundred eleven million, two hundred sixty-eight thousand, two hundred twenty-four".