4242200201400 has 192 divisors, whose sum is σ = 15210588960000. Its totient is φ = 957963202560.

The previous prime is 4242200201383. The next prime is 4242200201401. The reversal of 4242200201400 is 41020022424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242200201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5736025 + ... + 6433224.

It is an arithmetic number, because the mean of its divisors is an integer number (79221817500).

Almost surely, 2^{4242200201400} is an apocalyptic number.

4242200201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242200201400 is an abundant number, since it is smaller than the sum of its proper divisors (10968388758600).

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

4242200201400 is a wasteful number, since it uses less digits than its factorization.

4242200201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169358 (or 12169349 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 4242200201400 its reverse (41020022424), we get a palindrome (4283220223824).

The spelling of 4242200201400 in words is "four trillion, two hundred forty-two billion, two hundred million, two hundred one thousand, four hundred".