4267221603840 has 1920 divisors, whose sum is σ = 17836678379520. Its totient is φ = 932101226496.

The previous prime is 4267221603839. The next prime is 4267221603907. The reversal of 4267221603840 is 483061227624.

It is a happy number.

4267221603840 is a `hidden beast` number, since 4 + 267 + 2 + 2 + 1 + 6 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 191 ways as a sum of consecutive naturals, for example, 9720322341 + ... + 9720322779.

It is an arithmetic number, because the mean of its divisors is an integer number (9289936656).

Almost surely, 2^{4267221603840} is an apocalyptic number.

4267221603840 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 4267221603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918339189760).

4267221603840 is an abundant number, since it is smaller than the sum of its proper divisors (13569456775680).

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

4267221603840 is a wasteful number, since it uses less digits than its factorization.

4267221603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4267221603840 in words is "four trillion, two hundred sixty-seven billion, two hundred twenty-one million, six hundred three thousand, eight hundred forty".