981940838400 has 588 divisors, whose sum is σ = 3651481933242. Its totient is φ = 261811077120.

The previous prime is 981940838357. The next prime is 981940838441. The reversal of 981940838400 is 4838049189.

It can be written as a sum of positive squares in 3 ways, for example, as 946464362496 + 35476475904 = 972864^2 + 188352^2 .

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 (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 149295912 + ... + 149302488.

Almost surely, 2^981940838400 is an apocalyptic number.

981940838400 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 981940838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825740966621).

981940838400 is an abundant number, since it is smaller than the sum of its proper divisors (2669541094842).

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

981940838400 is an frugal number, since it uses more digits than its factorization.

981940838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 981940838400 in words is "nine hundred eighty-one billion, nine hundred forty million, eight hundred thirty-eight thousand, four hundred".