4061001400200 has 288 divisors, whose sum is σ = 14744000668800. Its totient is φ = 998208852480.

The previous prime is 4061001400139. The next prime is 4061001400223. The reversal of 4061001400200 is 20041001604.

4061001400200 is a `hidden beast` number, since 4 + 0 + 61 + 0 + 0 + 1 + 400 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 339232 + ... + 2870031.

Almost surely, 2^{4061001400200} is an apocalyptic number.

4061001400200 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 4061001400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372000334400).

4061001400200 is an abundant number, since it is smaller than the sum of its proper divisors (10682999268600).

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

4061001400200 is a wasteful number, since it uses less digits than its factorization.

4061001400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209341 (or 3209329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4061001400200 its reverse (20041001604), we get a palindrome (4081042401804).

The spelling of 4061001400200 in words is "four trillion, sixty-one billion, one million, four hundred thousand, two hundred".