20200407838800 has 720 divisors, whose sum is σ = 76863661339392. Its totient is φ = 4520613888000.

The previous prime is 20200407838789. The next prime is 20200407838811. The reversal of 20200407838800 is 883870400202.

It is an interprime number because it is at equal distance from previous prime (20200407838789) and next prime (20200407838811).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 588041625 + ... + 588075975.

Almost surely, 2^{20200407838800} is an apocalyptic number.

20200407838800 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 20200407838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38431830669696).

20200407838800 is an abundant number, since it is smaller than the sum of its proper divisors (56663253500592).

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

20200407838800 is a wasteful number, since it uses less digits than its factorization.

20200407838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34596 (or 34578 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 20200407838800 in words is "twenty trillion, two hundred billion, four hundred seven million, eight hundred thirty-eight thousand, eight hundred".