20001332014400 has 168 divisors, whose sum is σ = 54031920786336. Its totient is φ = 7226884454400.

The previous prime is 20001332014369. The next prime is 20001332014427. The reversal of 20001332014400 is 441023310002.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 856034 + ... + 6382433.

Almost surely, 2^{20001332014400} is an apocalyptic number.

20001332014400 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 20001332014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27015960393168).

20001332014400 is an abundant number, since it is smaller than the sum of its proper divisors (34030588771936).

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

20001332014400 is a wasteful number, since it uses less digits than its factorization.

20001332014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238657 (or 7238642 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20001332014400 its reverse (441023310002), we get a palindrome (20442355324402).

The spelling of 20001332014400 in words is "twenty trillion, one billion, three hundred thirty-two million, fourteen thousand, four hundred".