4052685817440 has 960 divisors, whose sum is σ = 15882969098304. Its totient is φ = 966706348032.

The previous prime is 4052685817429. The next prime is 4052685817451. The reversal of 4052685817440 is 447185862504.

4052685817440 is a `hidden beast` number, since 4 + 0 + 52 + 6 + 8 + 581 + 7 + 4 + 4 + 0 = 666.

4052685817440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4052685817429) and next prime (4052685817451).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1726750347 + ... + 1726752693.

Almost surely, 2^{4052685817440} is an apocalyptic number.

4052685817440 is a gapful number since it is divisible by the number (40) 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 4052685817440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7941484549152).

4052685817440 is an abundant number, since it is smaller than the sum of its proper divisors (11830283280864).

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

4052685817440 is a wasteful number, since it uses less digits than its factorization.

4052685817440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4052685817440 in words is "four trillion, fifty-two billion, six hundred eighty-five million, eight hundred seventeen thousand, four hundred forty".