4221267840 has 384 divisors, whose sum is σ = 15509426400. Its totient is φ = 1055932416.

The previous prime is 4221267833. The next prime is 4221267847. The reversal of 4221267840 is 487621224.

4221267840 is a `hidden beast` number, since 422 + 126 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4221267833) and next prime (4221267847).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 4221267795 and 4221267804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221267847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6180139 + ... + 6180821.

Almost surely, 2^4221267840 is an apocalyptic number.

4221267840 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 4221267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754713200).

4221267840 is an abundant number, since it is smaller than the sum of its proper divisors (11288158560).

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

4221267840 is a wasteful number, since it uses less digits than its factorization.

4221267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4221267840 is about 64971.2847341039. The cubic root of 4221267840 is about 1616.1474067411.

The spelling of 4221267840 in words is "four billion, two hundred twenty-one million, two hundred sixty-seven thousand, eight hundred forty".