40224414304404 has 144 divisors (see below), whose sum is σ = 111189775656960. Its totient is φ = 12159783961920.

The previous prime is 40224414304379. The next prime is 40224414304421. The reversal of 40224414304404 is 40440341442204.

It is a happy number.

40224414304404 is a `hidden beast` number, since 4 + 0 + 2 + 244 + 1 + 4 + 3 + 0 + 4 + 404 = 666.

It is a super-2 number, since 2×40224414304404² (a number of 28 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978856089 + ... + 1978876415.

It is an arithmetic number, because the mean of its divisors is an integer number (772151219840).

Almost surely, 2^{40224414304404} is an apocalyptic number.

40224414304404 is a gapful number since it is divisible by the number (44) 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 40224414304404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55594887828480).

40224414304404 is an abundant number, since it is smaller than the sum of its proper divisors (70965361352556).

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

40224414304404 is a wasteful number, since it uses less digits than its factorization.

40224414304404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32170 (or 32165 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 40224414304404 its reverse (40440341442204), we get a palindrome (80664755746608).

The spelling of 40224414304404 in words is "forty trillion, two hundred twenty-four billion, four hundred fourteen million, three hundred four thousand, four hundred four".