981940619520 has 1080 divisors, whose sum is σ = 4008403631232. Its totient is φ = 221908377600.

The previous prime is 981940619509. The next prime is 981940619551. The reversal of 981940619520 is 25916049189.

981940619520 is a `hidden beast` number, since 9 + 8 + 19 + 4 + 0 + 619 + 5 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3623396985 + ... + 3623397255.

Almost surely, 2^981940619520 is an apocalyptic number.

981940619520 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 981940619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004201815616).

981940619520 is an abundant number, since it is smaller than the sum of its proper divisors (3026463011712).

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

981940619520 is a wasteful number, since it uses less digits than its factorization.

981940619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 981940619520 in words is "nine hundred eighty-one billion, nine hundred forty million, six hundred nineteen thousand, five hundred twenty".