4001431205200 has 240 divisors, whose sum is σ = 11299795891776. Its totient is φ = 1342461542400.

The previous prime is 4001431205197. The next prime is 4001431205209. The reversal of 4001431205200 is 25021341004.

It is a super-2 number, since 2×4001431205200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001431205209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120847047 + ... + 120880153.

Almost surely, 2^{4001431205200} is an apocalyptic number.

4001431205200 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 4001431205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649897945888).

4001431205200 is an abundant number, since it is smaller than the sum of its proper divisors (7298364686576).

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

4001431205200 is a wasteful number, since it uses less digits than its factorization.

4001431205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35262 (or 35251 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 4001431205200 its reverse (25021341004), we get a palindrome (4026452546204).

The spelling of 4001431205200 in words is "four trillion, one billion, four hundred thirty-one million, two hundred five thousand, two hundred".