43940413440 has 1280 divisors, whose sum is σ = 200971203840. Its totient is φ = 8918138880.

The previous prime is 43940413379. The next prime is 43940413463. The reversal of 43940413440 is 4431404934.

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 = 43940413395 and 43940413404.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1021870059 + ... + 1021870101.

It is an arithmetic number, because the mean of its divisors is an integer number (157008753).

Almost surely, 2^43940413440 is an apocalyptic number.

43940413440 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 43940413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100485601920).

43940413440 is an abundant number, since it is smaller than the sum of its proper divisors (157030790400).

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

43940413440 is an equidigital number, since it uses as much as digits as its factorization.

43940413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 43940413440 in words is "forty-three billion, nine hundred forty million, four hundred thirteen thousand, four hundred forty".