20001020142400 has 168 divisors, whose sum is σ = 54220682109600. Its totient is φ = 7201086720000.

The previous prime is 20001020142391. The next prime is 20001020142413. The reversal of 20001020142400 is 424102010002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3848250 + ... + 7403449.

Almost surely, 2^{20001020142400} is an apocalyptic number.

20001020142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001020142400 is an abundant number, since it is smaller than the sum of its proper divisors (34219661967200).

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

20001020142400 is a wasteful number, since it uses less digits than its factorization.

20001020142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251833 (or 11251818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20001020142400 its reverse (424102010002), we get a palindrome (20425122152402).

The spelling of 20001020142400 in words is "twenty trillion, one billion, twenty million, one hundred forty-two thousand, four hundred".