1441964160 has 768 divisors, whose sum is σ = 6446563200. Its totient is φ = 301916160.

The previous prime is 1441964141. The next prime is 1441964179. The reversal of 1441964160 is 614691441.

1441964160 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 9 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1441964141) and next prime (1441964179).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007295 + ... + 11007425.

Almost surely, 2^1441964160 is an apocalyptic number.

1441964160 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 1441964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223281600).

1441964160 is an abundant number, since it is smaller than the sum of its proper divisors (5004599040).

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

1441964160 is a wasteful number, since it uses less digits than its factorization.

1441964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1441964160 is about 37973.2031832976. The cubic root of 1441964160 is about 1129.7564306522.

The spelling of 1441964160 in words is "one billion, four hundred forty-one million, nine hundred sixty-four thousand, one hundred sixty".