1249024941216 has 768 divisors, whose sum is σ = 4130909798400. Its totient is φ = 364563763200.

The previous prime is 1249024941209. The next prime is 1249024941217. The reversal of 1249024941216 is 6121494209421.

1249024941216 is a `hidden beast` number, since 12 + 490 + 24 + 9 + 4 + 121 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1249024941217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6340228030 + ... + 6340228226.

It is an arithmetic number, because the mean of its divisors is an integer number (5378788800).

Almost surely, 2^{1249024941216} is an apocalyptic number.

1249024941216 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 1249024941216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065454899200).

1249024941216 is an abundant number, since it is smaller than the sum of its proper divisors (2881884857184).

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

1249024941216 is a wasteful number, since it uses less digits than its factorization.

1249024941216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

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

The spelling of 1249024941216 in words is "one trillion, two hundred forty-nine billion, twenty-four million, nine hundred forty-one thousand, two hundred sixteen".