21631041264 has 160 divisors (see below), whose sum is σ = 71179015680. Its totient is φ = 5510578176.

The previous prime is 21631041239. The next prime is 21631041301. The reversal of 21631041264 is 46214013612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8872 + ... + 208184.

It is an arithmetic number, because the mean of its divisors is an integer number (444868848).

Almost surely, 2^21631041264 is an apocalyptic number.

21631041264 is a gapful number since it is divisible by the number (24) 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 21631041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35589507840).

21631041264 is an abundant number, since it is smaller than the sum of its proper divisors (49547974416).

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

21631041264 is a wasteful number, since it uses less digits than its factorization.

21631041264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199367 (or 199361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 21631041264 its reverse (46214013612), we get a palindrome (67845054876).

The spelling of 21631041264 in words is "twenty-one billion, six hundred thirty-one million, forty-one thousand, two hundred sixty-four".