9314285040 has 480 divisors, whose sum is σ = 34973832960. Its totient is φ = 2276757504.

The previous prime is 9314285033. The next prime is 9314285053. The reversal of 9314285040 is 405824139.

9314285040 is a `hidden beast` number, since 9 + 3 + 142 + 8 + 504 + 0 = 666.

9314285040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 9314284986 and 9314285004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26842147 + ... + 26842493.

It is an arithmetic number, because the mean of its divisors is an integer number (72862152).

Almost surely, 2^9314285040 is an apocalyptic number.

9314285040 is a gapful number since it is divisible by the number (90) 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 9314285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486916480).

9314285040 is an abundant number, since it is smaller than the sum of its proper divisors (25659547920).

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

9314285040 is a wasteful number, since it uses less digits than its factorization.

9314285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9314285040 is about 96510.5436726993. The cubic root of 9314285040 is about 2104.0198919120.

The spelling of 9314285040 in words is "nine billion, three hundred fourteen million, two hundred eighty-five thousand, forty".