4334093118432 has 1944 divisors, whose sum is σ = 17032087144800. Its totient is φ = 1041157877760.

The previous prime is 4334093118409. The next prime is 4334093118449. The reversal of 4334093118432 is 2348113904334.

4334093118432 is a `hidden beast` number, since 4 + 3 + 3 + 409 + 31 + 184 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 48697675444 + ... + 48697675532.

It is an arithmetic number, because the mean of its divisors is an integer number (8761361700).

Almost surely, 2^{4334093118432} is an apocalyptic number.

4334093118432 is a gapful number since it is divisible by the number (42) 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 4334093118432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516043572400).

4334093118432 is an abundant number, since it is smaller than the sum of its proper divisors (12697994026368).

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

4334093118432 is a wasteful number, since it uses less digits than its factorization.

4334093118432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4334093118432 in words is "four trillion, three hundred thirty-four billion, ninety-three million, one hundred eighteen thousand, four hundred thirty-two".