20102440320 has 192 divisors, whose sum is σ = 69543714240. Its totient is φ = 5350809600.

The previous prime is 20102440307. The next prime is 20102440357. The reversal of 20102440320 is 2304420102.

20102440320 is a `hidden beast` number, since 201 + 0 + 2 + 440 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20102440293 and 20102440302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3458857 + ... + 3464663.

It is an arithmetic number, because the mean of its divisors is an integer number (362206845).

Almost surely, 2^20102440320 is an apocalyptic number.

20102440320 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 20102440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34771857120).

20102440320 is an abundant number, since it is smaller than the sum of its proper divisors (49441273920).

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

20102440320 is a wasteful number, since it uses less digits than its factorization.

20102440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20102440320 its reverse (2304420102), we get a palindrome (22406860422).

The spelling of 20102440320 in words is "twenty billion, one hundred two million, four hundred forty thousand, three hundred twenty".