4242806400 has 384 divisors, whose sum is σ = 16816780800. Its totient is φ = 918466560.

The previous prime is 4242806377. The next prime is 4242806417. The reversal of 4242806400 is 46082424.

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

It is a super-2 number, since 2×4242806400² = 36002812295761920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275139 + ... + 1278461.

It is an arithmetic number, because the mean of its divisors is an integer number (43793700).

Almost surely, 2^4242806400 is an apocalyptic number.

4242806400 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 4242806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408390400).

4242806400 is an abundant number, since it is smaller than the sum of its proper divisors (12573974400).

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

4242806400 is a wasteful number, since it uses less digits than its factorization.

4242806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4242806400 is about 65136.8282924491. The cubic root of 4242806400 is about 1618.8914836856.

Adding to 4242806400 its reverse (46082424), we get a palindrome (4288888824).

The spelling of 4242806400 in words is "four billion, two hundred forty-two million, eight hundred six thousand, four hundred".