20014451336400 has 480 divisors, whose sum is σ = 69947512060800. Its totient is φ = 4874469580800.

The previous prime is 20014451336359. The next prime is 20014451336413. The reversal of 20014451336400 is 463315441002.

It is a happy number.

It is a super-3 number, since 3×20014451336400³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 91843570 + ... + 92061230.

It is an arithmetic number, because the mean of its divisors is an integer number (145723983460).

Almost surely, 2^{20014451336400} is an apocalyptic number.

20014451336400 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 20014451336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34973756030400).

20014451336400 is an abundant number, since it is smaller than the sum of its proper divisors (49933060724400).

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

20014451336400 is a wasteful number, since it uses less digits than its factorization.

20014451336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217847 (or 217836 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 20014451336400 its reverse (463315441002), we get a palindrome (20477766777402).

The spelling of 20014451336400 in words is "twenty trillion, fourteen billion, four hundred fifty-one million, three hundred thirty-six thousand, four hundred".