9881442000 has 360 divisors, whose sum is σ = 35559020952. Its totient is φ = 2557440000.

The previous prime is 9881441993. The next prime is 9881442001. The reversal of 9881442000 is 2441889.

It can be written as a sum of positive squares in 12 ways, for example, as 391564944 + 9489877056 = 19788^2 + 97416^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (9881442001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24641800 + ... + 24642200.

Almost surely, 2^9881442000 is an apocalyptic number.

9881442000 is a gapful number since it is divisible by the number (90) 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 9881442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17779510476).

9881442000 is an abundant number, since it is smaller than the sum of its proper divisors (25677578952).

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

9881442000 is a wasteful number, since it uses less digits than its factorization.

9881442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9881442000 is about 99405.4425069372. The cubic root of 9881442000 is about 2145.8866368971.

Adding to 9881442000 its reverse (2441889), we get a palindrome (9883883889).

The spelling of 9881442000 in words is "nine billion, eight hundred eighty-one million, four hundred forty-two thousand".