983211229440 has 1080 divisors, whose sum is σ = 3897357808344. Its totient is φ = 236489932800.

The previous prime is 983211229433. The next prime is 983211229459. The reversal of 983211229440 is 44922112389.

983211229440 is a `hidden beast` number, since 9 + 83 + 2 + 1 + 122 + 9 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55703552256 + 927507677184 = 236016^2 + 963072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2270695464 + ... + 2270695896.

Almost surely, 2^983211229440 is an apocalyptic number.

983211229440 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 983211229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948678904172).

983211229440 is an abundant number, since it is smaller than the sum of its proper divisors (2914146578904).

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

983211229440 is a wasteful number, since it uses less digits than its factorization.

983211229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 983211229440 in words is "nine hundred eighty-three billion, two hundred eleven million, two hundred twenty-nine thousand, four hundred forty".