1241878560 has 384 divisors, whose sum is σ = 4663733760. Its totient is φ = 274661376.

The previous prime is 1241878541. The next prime is 1241878591. The reversal of 1241878560 is 658781421.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2439586 + ... + 2440094.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^1241878560 is an apocalyptic number.

1241878560 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 1241878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331866880).

1241878560 is an abundant number, since it is smaller than the sum of its proper divisors (3421855200).

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

1241878560 is a wasteful number, since it uses less digits than its factorization.

1241878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1241878560 is about 35240.2973880755. The cubic root of 1241878560 is about 1074.8793259170.

It can be divided in two parts, 1241 and 878560, that added together give a triangular number (879801 = T₁₃₂₆).

The spelling of 1241878560 in words is "one billion, two hundred forty-one million, eight hundred seventy-eight thousand, five hundred sixty".