1241364136896 has 336 divisors, whose sum is σ = 3962971853568. Its totient is φ = 368934912000.

The previous prime is 1241364136879. The next prime is 1241364136907. The reversal of 1241364136896 is 6986314631421.

It is a happy number.

1241364136896 is a `hidden beast` number, since 1 + 2 + 4 + 136 + 413 + 6 + 8 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129290496 + ... + 129300096.

It is an arithmetic number, because the mean of its divisors is an integer number (11794559088).

Almost surely, 2^{1241364136896} is an apocalyptic number.

1241364136896 is a gapful number since it is divisible by the number (16) 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 1241364136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981485926784).

1241364136896 is an abundant number, since it is smaller than the sum of its proper divisors (2721607716672).

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

1241364136896 is a wasteful number, since it uses less digits than its factorization.

1241364136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10207 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 1241364136896 in words is "one trillion, two hundred forty-one billion, three hundred sixty-four million, one hundred thirty-six thousand, eight hundred ninety-six".