43868373906240 has 2016 divisors, whose sum is σ = 180573823946880. Its totient is φ = 10097180540928.

The previous prime is 43868373906229. The next prime is 43868373906251. The reversal of 43868373906240 is 4260937386834.

43868373906240 is a `hidden beast` number, since 4 + 3 + 86 + 8 + 373 + 90 + 62 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (43868373906229) and next prime (43868373906251).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39989401372 + ... + 39989402468.

It is an arithmetic number, because the mean of its divisors is an integer number (89570349180).

Almost surely, 2^{43868373906240} is an apocalyptic number.

43868373906240 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 43868373906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286911973440).

43868373906240 is an abundant number, since it is smaller than the sum of its proper divisors (136705450040640).

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

43868373906240 is a wasteful number, since it uses less digits than its factorization.

43868373906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 43868373906240 in words is "forty-three trillion, eight hundred sixty-eight billion, three hundred seventy-three million, nine hundred six thousand, two hundred forty".