4214403648 has 224 divisors, whose sum is σ = 15249265920. Its totient is φ = 1111449600.

The previous prime is 4214403629. The next prime is 4214403671. The reversal of 4214403648 is 8463044124.

4214403648 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 4 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4214403648² = 35522396216551415808, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143848 + ... + 170648.

It is an arithmetic number, because the mean of its divisors is an integer number (68077080).

Almost surely, 2^4214403648 is an apocalyptic number.

4214403648 is a gapful number since it is divisible by the number (48) 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 4214403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624632960).

4214403648 is an abundant number, since it is smaller than the sum of its proper divisors (11034862272).

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

4214403648 is a wasteful number, since it uses less digits than its factorization.

4214403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26842 (or 26826 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4214403648 is about 64918.4384285389. The cubic root of 4214403648 is about 1615.2709272078.

The spelling of 4214403648 in words is "four billion, two hundred fourteen million, four hundred three thousand, six hundred forty-eight".