4241449416960 has 1296 divisors, whose sum is σ = 17793498917376. Its totient is φ = 913639440384.

The previous prime is 4241449416947. The next prime is 4241449416973. The reversal of 4241449416960 is 696149441424.

It is a happy number.

4241449416960 is a `hidden beast` number, since 4 + 2 + 41 + 449 + 41 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4241449416947) and next prime (4241449416973).

It is a junction number, because it is equal to n+sod(n) for n = 4241449416897 and 4241449416906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10683751482 + ... + 10683751878.

Almost surely, 2^{4241449416960} is an apocalyptic number.

4241449416960 is a gapful number since it is divisible by the number (40) 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 4241449416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896749458688).

4241449416960 is an abundant number, since it is smaller than the sum of its proper divisors (13552049500416).

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

4241449416960 is a wasteful number, since it uses less digits than its factorization.

4241449416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4241449416960 in words is "four trillion, two hundred forty-one billion, four hundred forty-nine million, four hundred sixteen thousand, nine hundred sixty".