4024215648 has 96 divisors (see below), whose sum is σ = 12115998720. Its totient is φ = 1298125440.

The previous prime is 4024215607. The next prime is 4024215659. The reversal of 4024215648 is 8465124204.

4024215648 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 2 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4024215648³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48340 + ... + 101907.

It is an arithmetic number, because the mean of its divisors is an integer number (126208320).

Almost surely, 2^4024215648 is an apocalyptic number.

4024215648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4024215648 is an abundant number, since it is smaller than the sum of its proper divisors (8091783072).

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

4024215648 is a wasteful number, since it uses less digits than its factorization.

4024215648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150297 (or 150283 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4024215648 is about 63436.7058413345. The cubic root of 4024215648 is about 1590.5979381575.

The spelling of 4024215648 in words is "four billion, twenty-four million, two hundred fifteen thousand, six hundred forty-eight".