4215582144 has 140 divisors (see below), whose sum is σ = 12702116328. Its totient is φ = 1382054400.

The previous prime is 4215582113. The next prime is 4215582149. The reversal of 4215582144 is 4412855124.

4215582144 is a `hidden beast` number, since 42 + 1 + 558 + 21 + 44 = 666.

4215582144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4215582144² = 35542265625623273472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4215582099 and 4215582108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4215582149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309559 + ... + 322889.

Almost surely, 2^4215582144 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 4215582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351058164).

4215582144 is an abundant number, since it is smaller than the sum of its proper divisors (8486534184).

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

4215582144 is a wasteful number, since it uses less digits than its factorization.

4215582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13416 (or 13397 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 4215582144 is about 64927.5145373670. The cubic root of 4215582144 is about 1615.4214754289.

The spelling of 4215582144 in words is "four billion, two hundred fifteen million, five hundred eighty-two thousand, one hundred forty-four".