10416225456 has 200 divisors, whose sum is σ = 37105132064. Its totient is φ = 2747105280.

The previous prime is 10416225437. The next prime is 10416225461. The reversal of 10416225456 is 65452261401.

10416225456 is a `hidden beast` number, since 10 + 41 + 62 + 2 + 545 + 6 = 666.

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 10416225456.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 73776 + ... + 162096.

Almost surely, 2^10416225456 is an apocalyptic number.

10416225456 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 10416225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552566032).

10416225456 is an abundant number, since it is smaller than the sum of its proper divisors (26688906608).

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

10416225456 is a wasteful number, since it uses less digits than its factorization.

10416225456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88361 (or 88346 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10416225456 its reverse (65452261401), we get a palindrome (75868486857).

The spelling of 10416225456 in words is "ten billion, four hundred sixteen million, two hundred twenty-five thousand, four hundred fifty-six".