43875271440 has 960 divisors, whose sum is σ = 209533588992. Its totient is φ = 7918387200.

The previous prime is 43875271417. The next prime is 43875271469. The reversal of 43875271440 is 4417257834.

43875271440 is a `hidden beast` number, since 4 + 3 + 87 + 527 + 1 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12250450 + ... + 12254030.

Almost surely, 2^43875271440 is an apocalyptic number.

43875271440 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 43875271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104766794496).

43875271440 is an abundant number, since it is smaller than the sum of its proper divisors (165658317552).

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

43875271440 is a wasteful number, since it uses less digits than its factorization.

43875271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 43875271440 in words is "forty-three billion, eight hundred seventy-five million, two hundred seventy-one thousand, four hundred forty".