43253478282240 has 880 divisors, whose sum is σ = 165590846625600. Its totient is φ = 10763970674688.

The previous prime is 43253478282227. The next prime is 43253478282247. The reversal of 43253478282240 is 4228287435234.

43253478282240 is a `hidden beast` number, since 4 + 3 + 2 + 53 + 4 + 78 + 282 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43253478282247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 527897596 + ... + 527979524.

It is an arithmetic number, because the mean of its divisors is an integer number (188171416620).

Almost surely, 2^{43253478282240} is an apocalyptic number.

43253478282240 is a gapful number since it is divisible by the number (40) 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 43253478282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82795423312800).

43253478282240 is an abundant number, since it is smaller than the sum of its proper divisors (122337368343360).

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

43253478282240 is a wasteful number, since it uses less digits than its factorization.

43253478282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82052 (or 82025 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 43253478282240 in words is "forty-three trillion, two hundred fifty-three billion, four hundred seventy-eight million, two hundred eighty-two thousand, two hundred forty".