10126404288 has 756 divisors, whose sum is σ = 40091840568. Its totient is φ = 2415329280.

The previous prime is 10126404259. The next prime is 10126404319. The reversal of 10126404288 is 88240462101.

10126404288 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 640 + 4 + 2 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52468320 + ... + 52468512.

Almost surely, 2^10126404288 is an apocalyptic number.

10126404288 is a gapful number since it is divisible by the number (18) 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 10126404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20045920284).

10126404288 is an abundant number, since it is smaller than the sum of its proper divisors (29965436280).

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

10126404288 is a wasteful number, since it uses less digits than its factorization.

10126404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 10126404288 its reverse (88240462101), we get a palindrome (98366866389).

It can be divided in two parts, 10126 and 404288, that added together give a palindrome (414414).

The spelling of 10126404288 in words is "ten billion, one hundred twenty-six million, four hundred four thousand, two hundred eighty-eight".