4102431043200 has 192 divisors, whose sum is σ = 15442722822720. Its totient is φ = 937698508800.

The previous prime is 4102431043189. The next prime is 4102431043211. The reversal of 4102431043200 is 23401342014.

It is an interprime number because it is at equal distance from previous prime (4102431043189) and next prime (4102431043211).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4102431043200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30456841 + ... + 30591240.

It is an arithmetic number, because the mean of its divisors is an integer number (80430848035).

Almost surely, 2^{4102431043200} is an apocalyptic number.

4102431043200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102431043200 is an abundant number, since it is smaller than the sum of its proper divisors (11340291779520).

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

4102431043200 is a wasteful number, since it uses less digits than its factorization.

4102431043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61048115 (or 61048098 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4102431043200 its reverse (23401342014), we get a palindrome (4125832385214).

The spelling of 4102431043200 in words is "four trillion, one hundred two billion, four hundred thirty-one million, forty-three thousand, two hundred".