20073407234400 has 2880 divisors, whose sum is σ = 85983524827200. Its totient is φ = 4541681664000.

The previous prime is 20073407234347. The next prime is 20073407234407. The reversal of 20073407234400 is 443270437002.

20073407234400 is a `hidden beast` number, since 200 + 7 + 3 + 4 + 0 + 7 + 2 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20073407234407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 110902802310 + ... + 110902802490.

It is an arithmetic number, because the mean of its divisors is an integer number (29855390565).

Almost surely, 2^{20073407234400} is an apocalyptic number.

20073407234400 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 20073407234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42991762413600).

20073407234400 is an abundant number, since it is smaller than the sum of its proper divisors (65910117592800).

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

20073407234400 is a wasteful number, since it uses less digits than its factorization.

20073407234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 20073407234400 in words is "twenty trillion, seventy-three billion, four hundred seven million, two hundred thirty-four thousand, four hundred".