4216570525440 has 4032 divisors, whose sum is σ = 20754107006976. Its totient is φ = 794606174208.

The previous prime is 4216570525411. The next prime is 4216570525441. The reversal of 4216570525440 is 445250756124.

4216570525440 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 57 + 0 + 52 + 544 + 0 = 666.

4216570525440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-3 number, since 3×4216570525440³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4216570525441) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 33201342657 + ... + 33201342783.

It is an arithmetic number, because the mean of its divisors is an integer number (5147347968).

Almost surely, 2^{4216570525440} is an apocalyptic number.

4216570525440 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 4216570525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377053503488).

4216570525440 is an abundant number, since it is smaller than the sum of its proper divisors (16537536481536).

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

4216570525440 is a wasteful number, since it uses less digits than its factorization.

4216570525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 4216570525440 in words is "four trillion, two hundred sixteen billion, five hundred seventy million, five hundred twenty-five thousand, four hundred forty".