20489414400 has 864 divisors, whose sum is σ = 92541854720. Its totient is φ = 4319723520.

The previous prime is 20489414377. The next prime is 20489414419. The reversal of 20489414400 is 441498402.

20489414400 is a `hidden beast` number, since 204 + 8 + 9 + 4 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×20489414400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724149 + ... + 15725451.

Almost surely, 2^20489414400 is an apocalyptic number.

20489414400 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 20489414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46270927360).

20489414400 is an abundant number, since it is smaller than the sum of its proper divisors (72052440320).

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

20489414400 is a wasteful number, since it uses less digits than its factorization.

20489414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20489414400 in words is "twenty billion, four hundred eighty-nine million, four hundred fourteen thousand, four hundred".