43114091844096 has 2240 divisors, whose sum is σ = 167289337797120. Its totient is φ = 10783940935680.

The previous prime is 43114091844037. The next prime is 43114091844139. The reversal of 43114091844096 is 69044819041134.

It is a happy number.

43114091844096 is a `hidden beast` number, since 4 + 3 + 1 + 140 + 91 + 8 + 4 + 409 + 6 = 666.

It is a super-2 number, since 2×43114091844096² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 178896646536 + ... + 178896646776.

It is an arithmetic number, because the mean of its divisors is an integer number (74682740088).

Almost surely, 2^{43114091844096} is an apocalyptic number.

43114091844096 is a gapful number since it is divisible by the number (46) 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 43114091844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83644668898560).

43114091844096 is an abundant number, since it is smaller than the sum of its proper divisors (124175245953024).

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

43114091844096 is a wasteful number, since it uses less digits than its factorization.

43114091844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 431140 and 91844096, that added together give a square (92275236 = 9606²).

The spelling of 43114091844096 in words is "forty-three trillion, one hundred fourteen billion, ninety-one million, eight hundred forty-four thousand, ninety-six".