43085406240 has 288 divisors, whose sum is σ = 156640236480. Its totient is φ = 10753026048.

The previous prime is 43085406239. The next prime is 43085406241. The reversal of 43085406240 is 4260458034.

43085406240 is a `hidden beast` number, since 4 + 3 + 0 + 8 + 5 + 406 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (43085406239) and next prime (43085406241).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 43085406195 and 43085406204.

It is not an unprimeable number, because it can be changed into a prime (43085406241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2261394 + ... + 2280366.

It is an arithmetic number, because the mean of its divisors is an integer number (543889710).

Almost surely, 2^43085406240 is an apocalyptic number.

43085406240 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 43085406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78320118240).

43085406240 is an abundant number, since it is smaller than the sum of its proper divisors (113554830240).

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

43085406240 is a wasteful number, since it uses less digits than its factorization.

43085406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19096 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 43085406240 in words is "forty-three billion, eighty-five million, four hundred six thousand, two hundred forty".