4242193200 has 360 divisors, whose sum is σ = 17068836096. Its totient is φ = 955584000.

The previous prime is 4242193199. The next prime is 4242193201. The reversal of 4242193200 is 23912424.

4242193200 is a `hidden beast` number, since 424 + 219 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4242193199) and next prime (4242193201).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4242193200² = 35992406292252480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242193201) 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 71 ways as a sum of consecutive naturals, for example, 1788015 + ... + 1790385.

Almost surely, 2^4242193200 is an apocalyptic number.

4242193200 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 4242193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534418048).

4242193200 is an abundant number, since it is smaller than the sum of its proper divisors (12826642896).

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

4242193200 is a wasteful number, since it uses less digits than its factorization.

4242193200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4242193200 is about 65132.1211077914. The cubic root of 4242193200 is about 1618.8134887618.

The spelling of 4242193200 in words is "four billion, two hundred forty-two million, one hundred ninety-three thousand, two hundred".