9235127442240 has 1344 divisors, whose sum is σ = 40517899688448. Its totient is φ = 1954027929600.

The previous prime is 9235127442221. The next prime is 9235127442241. The reversal of 9235127442240 is 422447215329.

9235127442240 is a `hidden beast` number, since 9 + 2 + 3 + 512 + 74 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9235127442241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 564451660 + ... + 564468020.

It is an arithmetic number, because the mean of its divisors is an integer number (30147246792).

Almost surely, 2^{9235127442240} is an apocalyptic number.

9235127442240 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 9235127442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258949844224).

9235127442240 is an abundant number, since it is smaller than the sum of its proper divisors (31282772246208).

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

9235127442240 is a wasteful number, since it uses less digits than its factorization.

9235127442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16478 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 9235127442240 in words is "nine trillion, two hundred thirty-five billion, one hundred twenty-seven million, four hundred forty-two thousand, two hundred forty".