987013809040 has 160 divisors (see below), whose sum is σ = 2700720000000. Its totient is φ = 335299087872.

The previous prime is 987013809029. The next prime is 987013809083. The reversal of 987013809040 is 40908310789.

It is a happy number.

987013809040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2825961 + ... + 3155959.

It is an arithmetic number, because the mean of its divisors is an integer number (16879500000).

Almost surely, 2^987013809040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987013809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350360000000).

987013809040 is an abundant number, since it is smaller than the sum of its proper divisors (1713706190960).

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

987013809040 is a wasteful number, since it uses less digits than its factorization.

987013809040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330142 (or 330122 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 987013809040 in words is "nine hundred eighty-seven billion, thirteen million, eight hundred nine thousand, forty".