43971089084416 has 208 divisors, whose sum is σ = 96581908706976. Its totient is φ = 19890842370048.

The previous prime is 43971089084411. The next prime is 43971089084437. The reversal of 43971089084416 is 61448098017934.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×43971089084416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (43971089084411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2915267211 + ... + 2915282293.

Almost surely, 2^{43971089084416} 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 43971089084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48290954353488).

43971089084416 is an abundant number, since it is smaller than the sum of its proper divisors (52610819622560).

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

43971089084416 is a wasteful number, since it uses less digits than its factorization.

43971089084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16206 (or 16184 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 43971089084416 in words is "forty-three trillion, nine hundred seventy-one billion, eighty-nine million, eighty-four thousand, four hundred sixteen".