9429414240 has 96 divisors (see below), whose sum is σ = 31265982720. Its totient is φ = 2382165504.

The previous prime is 9429414223. The next prime is 9429414257. The reversal of 9429414240 is 424149249.

It is an interprime number because it is at equal distance from previous prime (9429414223) and next prime (9429414257).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507844 + ... + 526083.

It is an arithmetic number, because the mean of its divisors is an integer number (325687320).

Almost surely, 2^9429414240 is an apocalyptic number.

It is an amenable number.

9429414240 is an abundant number, since it is smaller than the sum of its proper divisors (21836568480).

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

9429414240 is a wasteful number, since it uses less digits than its factorization.

9429414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033964 (or 1033956 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 9429414240 is about 97105.1710260581. The cubic root of 9429414240 is about 2112.6533289266.

The spelling of 9429414240 in words is "nine billion, four hundred twenty-nine million, four hundred fourteen thousand, two hundred forty".