43338731040 has 576 divisors, whose sum is σ = 171823317120. Its totient is φ = 9830891520.

The previous prime is 43338731021. The next prime is 43338731089. The reversal of 43338731040 is 4013783334.

43338731040 is a `hidden beast` number, since 4 + 3 + 338 + 7 + 310 + 4 + 0 = 666.

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 = 43338730986 and 43338731004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61126206 + ... + 61126914.

It is an arithmetic number, because the mean of its divisors is an integer number (298304370).

Almost surely, 2^43338731040 is an apocalyptic number.

43338731040 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 43338731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85911658560).

43338731040 is an abundant number, since it is smaller than the sum of its proper divisors (128484586080).

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

43338731040 is a wasteful number, since it uses less digits than its factorization.

43338731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 43338731040 in words is "forty-three billion, three hundred thirty-eight million, seven hundred thirty-one thousand, forty".