41200100431200 has 576 divisors, whose sum is σ = 157405325414400. Its totient is φ = 10509000860160.

The previous prime is 41200100431117. The next prime is 41200100431213. The reversal of 41200100431200 is 213400100214.

41200100431200 is a `hidden beast` number, since 4 + 1 + 20 + 0 + 10 + 0 + 431 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39728881 + ... + 40752719.

It is an arithmetic number, because the mean of its divisors is an integer number (273273134400).

Almost surely, 2^{41200100431200} is an apocalyptic number.

41200100431200 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 41200100431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78702662707200).

41200100431200 is an abundant number, since it is smaller than the sum of its proper divisors (116205224983200).

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

41200100431200 is a wasteful number, since it uses less digits than its factorization.

41200100431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023903 (or 1023872 counting only the distinct ones).

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

Adding to 41200100431200 its reverse (213400100214), we get a palindrome (41413500531414).

It can be divided in two parts, 41200 and 100431200, that added together give a triangular number (100472400 = T₁₄₁₇₅).

The spelling of 41200100431200 in words is "forty-one trillion, two hundred billion, one hundred million, four hundred thirty-one thousand, two hundred".