10424913408 has 320 divisors, whose sum is σ = 37984235520. Its totient is φ = 2749095936.

The previous prime is 10424913397. The next prime is 10424913413. The reversal of 10424913408 is 80431942401.

It is a happy number.

10424913408 is a `hidden beast` number, since 1 + 0 + 4 + 249 + 1 + 3 + 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253841 + ... + 1262127.

It is an arithmetic number, because the mean of its divisors is an integer number (118700736).

Almost surely, 2^10424913408 is an apocalyptic number.

10424913408 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 10424913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992117760).

10424913408 is an abundant number, since it is smaller than the sum of its proper divisors (27559322112).

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

10424913408 is an equidigital number, since it uses as much as digits as its factorization.

10424913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10424913408 in words is "ten billion, four hundred twenty-four million, nine hundred thirteen thousand, four hundred eight".