10414227456 has 256 divisors, whose sum is σ = 31456800000. Its totient is φ = 3404464128.

The previous prime is 10414227443. The next prime is 10414227479. The reversal of 10414227456 is 65472241401.

10414227456 is a `hidden beast` number, since 10 + 414 + 227 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×10414227456² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10414227456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69894070 + ... + 69894218.

It is an arithmetic number, because the mean of its divisors is an integer number (122878125).

Almost surely, 2^10414227456 is an apocalyptic number.

10414227456 is a gapful number since it is divisible by the number (16) 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 10414227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728400000).

10414227456 is an abundant number, since it is smaller than the sum of its proper divisors (21042572544).

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

10414227456 is an frugal number, since it uses more digits than its factorization.

10414227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 10414227456 its reverse (65472241401), we get a palindrome (75886468857).

The spelling of 10414227456 in words is "ten billion, four hundred fourteen million, two hundred twenty-seven thousand, four hundred fifty-six".