20314224024000 has 224 divisors, whose sum is σ = 67094125091136. Its totient is φ = 5415789260800.

The previous prime is 20314224023999. The next prime is 20314224024011. The reversal of 20314224024000 is 42042241302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 99089602 + ... + 99294398.

Almost surely, 2^{20314224024000} is an apocalyptic number.

20314224024000 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 20314224024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33547062545568).

20314224024000 is an abundant number, since it is smaller than the sum of its proper divisors (46779901067136).

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

20314224024000 is a wasteful number, since it uses less digits than its factorization.

20314224024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208960 (or 208940 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20314224024000 its reverse (42042241302), we get a palindrome (20356266265302).

The spelling of 20314224024000 in words is "twenty trillion, three hundred fourteen billion, two hundred twenty-four million, twenty-four thousand".