981978042240 has 768 divisors, whose sum is σ = 3887784345600. Its totient is φ = 233898762240.

The previous prime is 981978042211. The next prime is 981978042257. The reversal of 981978042240 is 42240879189.

981978042240 is a `hidden beast` number, since 98 + 1 + 97 + 8 + 0 + 422 + 40 = 666.

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

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 90524497 + ... + 90535343.

It is an arithmetic number, because the mean of its divisors is an integer number (5062219200).

Almost surely, 2^981978042240 is an apocalyptic number.

981978042240 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 981978042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943892172800).

981978042240 is an abundant number, since it is smaller than the sum of its proper divisors (2905806303360).

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

981978042240 is a wasteful number, since it uses less digits than its factorization.

981978042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10932 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 981978042240 in words is "nine hundred eighty-one billion, nine hundred seventy-eight million, forty-two thousand, two hundred forty".