43275133440 has 1280 divisors, whose sum is σ = 196855971840. Its totient is φ = 8750039040.

The previous prime is 43275133427. The next prime is 43275133441. The reversal of 43275133440 is 4433157234.

43275133440 is a `hidden beast` number, since 43 + 275 + 1 + 3 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 43275133395 and 43275133404.

It is not an unprimeable number, because it can be changed into a prime (43275133441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250145194 + ... + 250145366.

It is an arithmetic number, because the mean of its divisors is an integer number (153793728).

Almost surely, 2^43275133440 is an apocalyptic number.

43275133440 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 43275133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98427985920).

43275133440 is an abundant number, since it is smaller than the sum of its proper divisors (153580838400).

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

43275133440 is a wasteful number, since it uses less digits than its factorization.

43275133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

It can be divided in two parts, 43275 and 133440, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 43275133440 in words is "forty-three billion, two hundred seventy-five million, one hundred thirty-three thousand, four hundred forty".