43087242240 has 792 divisors, whose sum is σ = 177574138560. Its totient is φ = 9462251520.

The previous prime is 43087242199. The next prime is 43087242287. The reversal of 43087242240 is 4224278034.

43087242240 is a `hidden beast` number, since 4 + 308 + 72 + 42 + 240 = 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 = 43087242195 and 43087242204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309980091 + ... + 309980229.

Almost surely, 2^43087242240 is an apocalyptic number.

43087242240 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 43087242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88787069280).

43087242240 is an abundant number, since it is smaller than the sum of its proper divisors (134486896320).

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

43087242240 is a wasteful number, since it uses less digits than its factorization.

43087242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 43087242240 in words is "forty-three billion, eighty-seven million, two hundred forty-two thousand, two hundred forty".