1018442880 has 768 divisors, whose sum is σ = 4544467200. Its totient is φ = 204374016.

The previous prime is 1018442879. The next prime is 1018442881. The reversal of 1018442880 is 882448101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1018442879) and next prime (1018442881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018442881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15200607 + ... + 15200673.

It is an arithmetic number, because the mean of its divisors is an integer number (5917275).

Almost surely, 2^1018442880 is an apocalyptic number.

1018442880 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 1018442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272233600).

1018442880 is an abundant number, since it is smaller than the sum of its proper divisors (3526024320).

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

1018442880 is a wasteful number, since it uses less digits than its factorization.

1018442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1018442880 is about 31913.0518753691. The cubic root of 1018442880 is about 1006.1102158874.

The spelling of 1018442880 in words is "one billion, eighteen million, four hundred forty-two thousand, eight hundred eighty".