1241081396064 has 672 divisors, whose sum is σ = 3916144641024. Its totient is φ = 386345272320.

The previous prime is 1241081396059. The next prime is 1241081396083. The reversal of 1241081396064 is 4606931801421.

1241081396064 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 0 + 8 + 1 + 39 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3327295782 + ... + 3327296154.

It is an arithmetic number, because the mean of its divisors is an integer number (5827596192).

Almost surely, 2^{1241081396064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241081396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958072320512).

1241081396064 is an abundant number, since it is smaller than the sum of its proper divisors (2675063244960).

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

1241081396064 is a wasteful number, since it uses less digits than its factorization.

1241081396064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 1241081 and 396064, that added together give a triangular number (1637145 = T₁₈₀₉).

The spelling of 1241081396064 in words is "one trillion, two hundred forty-one billion, eighty-one million, three hundred ninety-six thousand, sixty-four".