26354400940224 has 448 divisors, whose sum is σ = 93389013120000. Its totient is φ = 7119475679232.

The previous prime is 26354400940181. The next prime is 26354400940249. The reversal of 26354400940224 is 42204900445362.

26354400940224 is a `hidden beast` number, since 2 + 63 + 544 + 0 + 0 + 9 + 40 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 26354400940224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116867772 + ... + 117093060.

Almost surely, 2^{26354400940224} is an apocalyptic number.

26354400940224 is a gapful number since it is divisible by the number (24) 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 26354400940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46694506560000).

26354400940224 is an abundant number, since it is smaller than the sum of its proper divisors (67034612179776).

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

26354400940224 is a wasteful number, since it uses less digits than its factorization.

26354400940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225845 (or 225829 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 26354400940224 in words is "twenty-six trillion, three hundred fifty-four billion, four hundred million, nine hundred forty thousand, two hundred twenty-four".