9414257904 has 120 divisors (see below), whose sum is σ = 26796179280. Its totient is φ = 3084770304.

The previous prime is 9414257893. The next prime is 9414257939. The reversal of 9414257904 is 4097524149.

It is a self number, because there is not a number n which added to its sum of digits gives 9414257904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7302892 + ... + 7304180.

It is an arithmetic number, because the mean of its divisors is an integer number (223301494).

Almost surely, 2^9414257904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9414257904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398089640).

9414257904 is an abundant number, since it is smaller than the sum of its proper divisors (17381921376).

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

9414257904 is a wasteful number, since it uses less digits than its factorization.

9414257904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9414257904 is about 97027.0988126513. The cubic root of 9414257904 is about 2111.5207999411.

The spelling of 9414257904 in words is "nine billion, four hundred fourteen million, two hundred fifty-seven thousand, nine hundred four".