10426241952 has 216 divisors, whose sum is σ = 34570815552. Its totient is φ = 2971987200.

The previous prime is 10426241929. The next prime is 10426241957. The reversal of 10426241952 is 25914262401.

It is a happy number.

10426241952 is a `hidden beast` number, since 10 + 4 + 2 + 624 + 19 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10426241957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11444377 + ... + 11445287.

It is an arithmetic number, because the mean of its divisors is an integer number (160050072).

Almost surely, 2^10426241952 is an apocalyptic number.

10426241952 is a gapful number since it is divisible by the number (12) 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 10426241952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17285407776).

10426241952 is an abundant number, since it is smaller than the sum of its proper divisors (24144573600).

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

10426241952 is a wasteful number, since it uses less digits than its factorization.

10426241952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10426241952 in words is "ten billion, four hundred twenty-six million, two hundred forty-one thousand, nine hundred fifty-two".