10234257408 has 168 divisors, whose sum is σ = 29823875328. Its totient is φ = 3381460992.

The previous prime is 10234257401. The next prime is 10234257409. The reversal of 10234257408 is 80475243201.

It is a happy number.

10234257408 is a `hidden beast` number, since 10 + 234 + 2 + 5 + 7 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234257401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9362910 + ... + 9364002.

Almost surely, 2^10234257408 is an apocalyptic number.

10234257408 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 10234257408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911937664).

10234257408 is an abundant number, since it is smaller than the sum of its proper divisors (19589617920).

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

10234257408 is a wasteful number, since it uses less digits than its factorization.

10234257408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10234257408 in words is "ten billion, two hundred thirty-four million, two hundred fifty-seven thousand, four hundred eight".