43406955012096 has 896 divisors, whose sum is σ = 147308386713600. Its totient is φ = 12521066987520.

The previous prime is 43406955012067. The next prime is 43406955012119. The reversal of 43406955012096 is 69021055960434.

43406955012096 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 69 + 550 + 1 + 20 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5299343361 + ... + 5299351551.

It is an arithmetic number, because the mean of its divisors is an integer number (164406681600).

Almost surely, 2^{43406955012096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43406955012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73654193356800).

43406955012096 is an abundant number, since it is smaller than the sum of its proper divisors (103901431701504).

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

43406955012096 is a wasteful number, since it uses less digits than its factorization.

43406955012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 43406955012096 in words is "forty-three trillion, four hundred six billion, nine hundred fifty-five million, twelve thousand, ninety-six".