21963191040 has 288 divisors, whose sum is σ = 89073922560. Its totient is φ = 5020102656.

The previous prime is 21963191017. The next prime is 21963191051. The reversal of 21963191040 is 4019136912.

It is a happy number.

21963191040 is a `hidden beast` number, since 2 + 1 + 9 + 631 + 9 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 21963190986 and 21963191004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196527 + ... + 287313.

Almost surely, 2^21963191040 is an apocalyptic number.

21963191040 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 21963191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44536961280).

21963191040 is an abundant number, since it is smaller than the sum of its proper divisors (67110731520).

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

21963191040 is an equidigital number, since it uses as much as digits as its factorization.

21963191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90824 (or 90804 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21963191040 in words is "twenty-one billion, nine hundred sixty-three million, one hundred ninety-one thousand, forty".