981483540480 has 416 divisors, whose sum is σ = 3507939256320. Its totient is φ = 260330618880.

The previous prime is 981483540467. The next prime is 981483540481. The reversal of 981483540480 is 84045384189.

It is a happy number.

981483540480 is a `hidden beast` number, since 9 + 8 + 14 + 8 + 3 + 540 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981483540481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105610714 + ... + 105620006.

Almost surely, 2^981483540480 is an apocalyptic number.

981483540480 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 981483540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753969628160).

981483540480 is an abundant number, since it is smaller than the sum of its proper divisors (2526455715840).

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

981483540480 is a wasteful number, since it uses less digits than its factorization.

981483540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 981483540480 in words is "nine hundred eighty-one billion, four hundred eighty-three million, five hundred forty thousand, four hundred eighty".