1441117776 has 180 divisors, whose sum is σ = 4532022432. Its totient is φ = 386498304.

The previous prime is 1441117771. The next prime is 1441117789. The reversal of 1441117776 is 6777111441.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441117771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13221210 + ... + 13221318.

Almost surely, 2^1441117776 is an apocalyptic number.

1441117776 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 1441117776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266011216).

1441117776 is an abundant number, since it is smaller than the sum of its proper divisors (3090904656).

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

1441117776 is a wasteful number, since it uses less digits than its factorization.

1441117776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 140 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 1441117776 is about 37962.0570570142. The cubic root of 1441117776 is about 1129.5353445019.

The spelling of 1441117776 in words is "one billion, four hundred forty-one million, one hundred seventeen thousand, seven hundred seventy-six".