9124005408 has 144 divisors (see below), whose sum is σ = 28197681120. Its totient is φ = 2575340544.

The previous prime is 9124005377. The next prime is 9124005419. The reversal of 9124005408 is 8045004219.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378748 + ... + 402116.

It is an arithmetic number, because the mean of its divisors is an integer number (195817230).

Almost surely, 2^9124005408 is an apocalyptic number.

9124005408 is a gapful number since it is divisible by the number (98) 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 9124005408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14098840560).

9124005408 is an abundant number, since it is smaller than the sum of its proper divisors (19073675712).

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

9124005408 is a wasteful number, since it uses less digits than its factorization.

9124005408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23479 (or 23464 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 9124005408 is about 95519.6597983891. The cubic root of 9124005408 is about 2089.5936732890.

The spelling of 9124005408 in words is "nine billion, one hundred twenty-four million, five thousand, four hundred eight".