10413632226264 has 192 divisors, whose sum is σ = 26765578828800. Its totient is φ = 3376250044416.

The previous prime is 10413632226229. The next prime is 10413632226307. The reversal of 10413632226264 is 46262223631401.

It is a happy number.

10413632226264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10413632226264³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 9796454997 + ... + 9796456059.

It is an arithmetic number, because the mean of its divisors is an integer number (139404056400).

Almost surely, 2^{10413632226264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413632226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382789414400).

10413632226264 is an abundant number, since it is smaller than the sum of its proper divisors (16351946602536).

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

10413632226264 is a wasteful number, since it uses less digits than its factorization.

10413632226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 10413632226264 its reverse (46262223631401), we get a palindrome (56675855857665).

The spelling of 10413632226264 in words is "ten trillion, four hundred thirteen billion, six hundred thirty-two million, two hundred twenty-six thousand, two hundred sixty-four".