3973441126200 has 1152 divisors, whose sum is σ = 16055782364160. Its totient is φ = 791092224000.

The previous prime is 3973441126183. The next prime is 3973441126267. The reversal of 3973441126200 is 26211443793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2151293677 + ... + 2151295523.

It is an arithmetic number, because the mean of its divisors is an integer number (13937311080).

Almost surely, 2^{3973441126200} is an apocalyptic number.

3973441126200 is a gapful number since it is divisible by the number (30) 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 3973441126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027891182080).

3973441126200 is an abundant number, since it is smaller than the sum of its proper divisors (12082341237960).

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

3973441126200 is a wasteful number, since it uses less digits than its factorization.

3973441126200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

Adding to 3973441126200 its reverse (26211443793), we get a palindrome (3999652569993).

The spelling of 3973441126200 in words is "three trillion, nine hundred seventy-three billion, four hundred forty-one million, one hundred twenty-six thousand, two hundred".