1941074265312 has 768 divisors, whose sum is σ = 7549640017920. Its totient is φ = 470599041024.

The previous prime is 1941074265301. The next prime is 1941074265391. The reversal of 1941074265312 is 2135624701491.

1941074265312 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 0 + 74 + 265 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57457258 + ... + 57491030.

It is an arithmetic number, because the mean of its divisors is an integer number (9830260440).

Almost surely, 2^{1941074265312} is an apocalyptic number.

1941074265312 is a gapful number since it is divisible by the number (12) 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 1941074265312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774820008960).

1941074265312 is an abundant number, since it is smaller than the sum of its proper divisors (5608565752608).

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

1941074265312 is a wasteful number, since it uses less digits than its factorization.

1941074265312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33872 (or 33858 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1941074265312 in words is "one trillion, nine hundred forty-one billion, seventy-four million, two hundred sixty-five thousand, three hundred twelve".