20314010241000 has 384 divisors, whose sum is σ = 79203511445760. Its totient is φ = 4599806400000.

The previous prime is 20314010240969. The next prime is 20314010241103. The reversal of 20314010241000 is 14201041302.

20314010241000 is a `hidden beast` number, since 20 + 3 + 1 + 401 + 0 + 241 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5234250 + ... + 8247750.

It is an arithmetic number, because the mean of its divisors is an integer number (206259144390).

Almost surely, 2^{20314010241000} is an apocalyptic number.

20314010241000 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 20314010241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39601755722880).

20314010241000 is an abundant number, since it is smaller than the sum of its proper divisors (58889501204760).

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

20314010241000 is a wasteful number, since it uses less digits than its factorization.

20314010241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013642 (or 3013625 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20314010241000 its reverse (14201041302), we get a palindrome (20328211282302).

The spelling of 20314010241000 in words is "twenty trillion, three hundred fourteen billion, ten million, two hundred forty-one thousand".