1941338880 has 576 divisors, whose sum is σ = 7726320000. Its totient is φ = 458293248.

The previous prime is 1941338863. The next prime is 1941338881. The reversal of 1941338880 is 888331491.

1941338880 is a `hidden beast` number, since 194 + 1 + 3 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1941338881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13029046 + ... + 13029194.

It is an arithmetic number, because the mean of its divisors is an integer number (13413750).

Almost surely, 2^1941338880 is an apocalyptic number.

1941338880 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 1941338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863160000).

1941338880 is an abundant number, since it is smaller than the sum of its proper divisors (5784981120).

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

1941338880 is a wasteful number, since it uses less digits than its factorization.

1941338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

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

The square root of 1941338880 is about 44060.6273219073. The cubic root of 1941338880 is about 1247.4805530547.

The spelling of 1941338880 in words is "one billion, nine hundred forty-one million, three hundred thirty-eight thousand, eight hundred eighty".