10226413260 has 288 divisors, whose sum is σ = 36858931200. Its totient is φ = 2245501440.

The previous prime is 10226413237. The next prime is 10226413283. The reversal of 10226413260 is 6231462201.

10226413260 is a `hidden beast` number, since 1 + 0 + 226 + 413 + 26 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10226413237) and next prime (10226413283).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8732475 + ... + 8733645.

It is an arithmetic number, because the mean of its divisors is an integer number (127982400).

Almost surely, 2^10226413260 is an apocalyptic number.

10226413260 is a gapful number since it is divisible by the number (10) 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 10226413260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429465600).

10226413260 is an abundant number, since it is smaller than the sum of its proper divisors (26632517940).

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

10226413260 is a wasteful number, since it uses less digits than its factorization.

10226413260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10226413260 its reverse (6231462201), we get a palindrome (16457875461).

The spelling of 10226413260 in words is "ten billion, two hundred twenty-six million, four hundred thirteen thousand, two hundred sixty".