43870321440 has 1152 divisors, whose sum is σ = 182434291200. Its totient is φ = 9813196800.

The previous prime is 43870321427. The next prime is 43870321447. The reversal of 43870321440 is 4412307834.

43870321440 is a `hidden beast` number, since 438 + 7 + 0 + 3 + 214 + 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 = 43870321395 and 43870321404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43870321447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 492924916 + ... + 492925004.

It is an arithmetic number, because the mean of its divisors is an integer number (158363100).

Almost surely, 2^43870321440 is an apocalyptic number.

43870321440 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 43870321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91217145600).

43870321440 is an abundant number, since it is smaller than the sum of its proper divisors (138563969760).

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

43870321440 is a wasteful number, since it uses less digits than its factorization.

43870321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 43870321440 in words is "forty-three billion, eight hundred seventy million, three hundred twenty-one thousand, four hundred forty".