1241966880 has 576 divisors, whose sum is σ = 5525065728. Its totient is φ = 246343680.

The previous prime is 1241966879. The next prime is 1241966897. The reversal of 1241966880 is 886691421.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2549997 + ... + 2550483.

It is an arithmetic number, because the mean of its divisors is an integer number (9592128).

Almost surely, 2^1241966880 is an apocalyptic number.

1241966880 is a gapful number since it is divisible by the number (10) 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 1241966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762532864).

1241966880 is an abundant number, since it is smaller than the sum of its proper divisors (4283098848).

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

1241966880 is a wasteful number, since it uses less digits than its factorization.

1241966880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1241966880 is about 35241.5504766745. The cubic root of 1241966880 is about 1074.9048064255.

The spelling of 1241966880 in words is "one billion, two hundred forty-one million, nine hundred sixty-six thousand, eight hundred eighty".