21983603040 has 1152 divisors, whose sum is σ = 97732656000. Its totient is φ = 4582932480.

The previous prime is 21983602997. The next prime is 21983603077. The reversal of 21983603040 is 4030638912.

21983603040 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 3 + 603 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21983602986 and 21983603004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147540886 + ... + 147541034.

It is an arithmetic number, because the mean of its divisors is an integer number (84837375).

Almost surely, 2^21983603040 is an apocalyptic number.

21983603040 is a gapful number since it is divisible by the number (20) 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 21983603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48866328000).

21983603040 is an abundant number, since it is smaller than the sum of its proper divisors (75749052960).

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

21983603040 is a wasteful number, since it uses less digits than its factorization.

21983603040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21983603040 in words is "twenty-one billion, nine hundred eighty-three million, six hundred three thousand, forty".