4435581993552 has 480 divisors, whose sum is σ = 14436523503360. Its totient is φ = 1298541404160.

The previous prime is 4435581993541. The next prime is 4435581993599. The reversal of 4435581993552 is 2553991855344.

4435581993552 is a `hidden beast` number, since 4 + 43 + 5 + 58 + 199 + 355 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4435581993552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159270093 + ... + 159297939.

It is an arithmetic number, because the mean of its divisors is an integer number (30076090632).

Almost surely, 2^{4435581993552} 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 4435581993552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218261751680).

4435581993552 is an abundant number, since it is smaller than the sum of its proper divisors (10000941509808).

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

4435581993552 is a wasteful number, since it uses less digits than its factorization.

4435581993552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27968 (or 27933 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 63.

The spelling of 4435581993552 in words is "four trillion, four hundred thirty-five billion, five hundred eighty-one million, nine hundred ninety-three thousand, five hundred fifty-two".