4221375600 has 120 divisors (see below), whose sum is σ = 14562717232. Its totient is φ = 1039104000.

The previous prime is 4221375593. The next prime is 4221375607. The reversal of 4221375600 is 65731224.

It is an interprime number because it is at equal distance from previous prime (4221375593) and next prime (4221375607).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221375607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 119701 + ... + 150900.

Almost surely, 2^4221375600 is an apocalyptic number.

4221375600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221375600 is an abundant number, since it is smaller than the sum of its proper divisors (10341341632).

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

4221375600 is a wasteful number, since it uses less digits than its factorization.

4221375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270635 (or 270624 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4221375600 is about 64972.1140182463. The cubic root of 4221375600 is about 1616.1611588941.

The spelling of 4221375600 in words is "four billion, two hundred twenty-one million, three hundred seventy-five thousand, six hundred".