981242000480 has 96 divisors (see below), whose sum is σ = 2649572674560. Its totient is φ = 336397985280.

The previous prime is 981242000471. The next prime is 981242000483. The reversal of 981242000480 is 84000242189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981242000483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17128685 + ... + 17185875.

It is an arithmetic number, because the mean of its divisors is an integer number (27599715360).

Almost surely, 2^981242000480 is an apocalyptic number.

981242000480 is the 571910-th octagonal number.

It is an amenable number.

981242000480 is an abundant number, since it is smaller than the sum of its proper divisors (1668330674080).

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

981242000480 is a wasteful number, since it uses less digits than its factorization.

981242000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72532 (or 72524 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 981242000480 in words is "nine hundred eighty-one billion, two hundred forty-two million, four hundred eighty", and thus it is an aban number.