21167832240 has 120 divisors (see below), whose sum is σ = 71186113440. Its totient is φ = 5637015552.

The previous prime is 21167832229. The next prime is 21167832247. The reversal of 21167832240 is 4223876112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21167832195 and 21167832204.

It is not an unprimeable number, because it can be changed into a prime (21167832247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515176 + ... + 554744.

It is an arithmetic number, because the mean of its divisors is an integer number (593217612).

Almost surely, 2^21167832240 is an apocalyptic number.

21167832240 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 21167832240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35593056720).

21167832240 is an abundant number, since it is smaller than the sum of its proper divisors (50018281200).

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

21167832240 is a wasteful number, since it uses less digits than its factorization.

21167832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40331 (or 40322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21167832240 in words is "twenty-one billion, one hundred sixty-seven million, eight hundred thirty-two thousand, two hundred forty".