20434555004100 has 288 divisors, whose sum is σ = 64068553100160. Its totient is φ = 5009621360640.

The previous prime is 20434555004063. The next prime is 20434555004113. The reversal of 20434555004100 is 140055543402.

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 95 ways as a sum of consecutive naturals, for example, 47025022 + ... + 47457578.

It is an arithmetic number, because the mean of its divisors is an integer number (222460253820).

Almost surely, 2^{20434555004100} is an apocalyptic number.

20434555004100 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 20434555004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32034276550080).

20434555004100 is an abundant number, since it is smaller than the sum of its proper divisors (43633998096060).

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

20434555004100 is a wasteful number, since it uses less digits than its factorization.

20434555004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432807 (or 432800 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 20434555004100 in words is "twenty trillion, four hundred thirty-four billion, five hundred fifty-five million, four thousand, one hundred".