987638440000 has 105 divisors (see below), whose sum is σ = 2449515308097. Its totient is φ = 394975872000.

The previous prime is 987638439967. The next prime is 987638440037. The reversal of 987638440000 is 44836789.

The square root of 987638440000 is 993800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 955342037056 + 32296402944 = 977416^2 + 179712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 198757516 + ... + 198762484.

Almost surely, 2^987638440000 is an apocalyptic number.

987638440000 is the 993800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987638440000

987638440000 is an abundant number, since it is smaller than the sum of its proper divisors (1461876868097).

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

987638440000 is an frugal number, since it uses more digits than its factorization.

987638440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 987638440000 by its sum of digits (49), we get a square (48394283560000 = 6956600²).

The spelling of 987638440000 in words is "nine hundred eighty-seven billion, six hundred thirty-eight million, four hundred forty thousand".