200442101400 has 288 divisors, whose sum is σ = 697496763600. Its totient is φ = 51524121600.

The previous prime is 200442101383. The next prime is 200442101407. The reversal of 200442101400 is 4101244002.

200442101400 is a `hidden beast` number, since 200 + 4 + 421 + 0 + 1 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200442101407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36067422 + ... + 36072978.

Almost surely, 2^200442101400 is an apocalyptic number.

200442101400 is a gapful number since it is divisible by the number (20) 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 200442101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348748381800).

200442101400 is an abundant number, since it is smaller than the sum of its proper divisors (497054662200).

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

200442101400 is a wasteful number, since it uses less digits than its factorization.

200442101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200442101400 its reverse (4101244002), we get a palindrome (204543345402).

The spelling of 200442101400 in words is "two hundred billion, four hundred forty-two million, one hundred one thousand, four hundred".