21199631040 has 1344 divisors, whose sum is σ = 95858380800. Its totient is φ = 4347592704.

The previous prime is 21199631027. The next prime is 21199631081. The reversal of 21199631040 is 4013699112.

It is a happy number.

21199631040 is a `hidden beast` number, since 2 + 1 + 19 + 9 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 21199630986 and 21199631004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268349721 + ... + 268349799.

It is an arithmetic number, because the mean of its divisors is an integer number (71323200).

Almost surely, 2^21199631040 is an apocalyptic number.

21199631040 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 21199631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47929190400).

21199631040 is an abundant number, since it is smaller than the sum of its proper divisors (74658749760).

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

21199631040 is a wasteful number, since it uses less digits than its factorization.

21199631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

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

The spelling of 21199631040 in words is "twenty-one billion, one hundred ninety-nine million, six hundred thirty-one thousand, forty".