8230935061440 has 2520 divisors, whose sum is σ = 38101047000192. Its totient is φ = 1679257681920.

The previous prime is 8230935061421. The next prime is 8230935061529. The reversal of 8230935061440 is 441605390328.

8230935061440 is a `hidden beast` number, since 8 + 2 + 3 + 0 + 93 + 506 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6653948502 + ... + 6653949738.

Almost surely, 2^{8230935061440} is an apocalyptic number.

8230935061440 is a gapful number since it is divisible by the number (80) 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 8230935061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050523500096).

8230935061440 is an abundant number, since it is smaller than the sum of its proper divisors (29870111938752).

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

8230935061440 is a wasteful number, since it uses less digits than its factorization.

8230935061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 8230935061440 in words is "eight trillion, two hundred thirty billion, nine hundred thirty-five million, sixty-one thousand, four hundred forty".