841274131200 has 1728 divisors, whose sum is σ = 3258511441920. Its totient is φ = 189923328000.

The previous prime is 841274131189. The next prime is 841274131211. The reversal of 841274131200 is 2131472148.

It is an interprime number because it is at equal distance from previous prime (841274131189) and next prime (841274131211).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13791379170 + ... + 13791379230.

It is an arithmetic number, because the mean of its divisors is an integer number (1885712640).

Almost surely, 2^841274131200 is an apocalyptic number.

841274131200 is a gapful number since it is divisible by the number (80) 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 841274131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629255720960).

841274131200 is an abundant number, since it is smaller than the sum of its proper divisors (2417237310720).

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

841274131200 is a wasteful number, since it uses less digits than its factorization.

841274131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 841274131200 in words is "eight hundred forty-one billion, two hundred seventy-four million, one hundred thirty-one thousand, two hundred".