3141444270600 has 672 divisors, whose sum is σ = 11216975281920. Its totient is φ = 817464130560.

The previous prime is 3141444270577. The next prime is 3141444270749. The reversal of 3141444270600 is 60724441413.

3141444270600 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 4 + 4 + 42 + 7 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4228053829 + ... + 4228054571.

Almost surely, 2^{3141444270600} is an apocalyptic number.

3141444270600 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 3141444270600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608487640960).

3141444270600 is an abundant number, since it is smaller than the sum of its proper divisors (8075531011320).

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

3141444270600 is a wasteful number, since it uses less digits than its factorization.

3141444270600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3141444270600 in words is "three trillion, one hundred forty-one billion, four hundred forty-four million, two hundred seventy thousand, six hundred".