43952856480 has 1152 divisors, whose sum is σ = 180696821760. Its totient is φ = 9634775040.

The previous prime is 43952856433. The next prime is 43952856481. The reversal of 43952856480 is 8465825934.

43952856480 is a `hidden beast` number, since 4 + 3 + 95 + 28 + 56 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (43952856481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 493852276 + ... + 493852364.

It is an arithmetic number, because the mean of its divisors is an integer number (156854880).

Almost surely, 2^43952856480 is an apocalyptic number.

43952856480 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 43952856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90348410880).

43952856480 is an abundant number, since it is smaller than the sum of its proper divisors (136743965280).

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

43952856480 is a wasteful number, since it uses less digits than its factorization.

43952856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 43952856480 in words is "forty-three billion, nine hundred fifty-two million, eight hundred fifty-six thousand, four hundred eighty".