20434133046000 has 320 divisors, whose sum is σ = 66029169862656. Its totient is φ = 5436750592000.

The previous prime is 20434133045987. The next prime is 20434133046023. The reversal of 20434133046000 is 64033143402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8433400789 + ... + 8433403211.

Almost surely, 2^{20434133046000} is an apocalyptic number.

20434133046000 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 20434133046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014584931328).

20434133046000 is an abundant number, since it is smaller than the sum of its proper divisors (45595036816656).

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

20434133046000 is a wasteful number, since it uses less digits than its factorization.

20434133046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20434133046000 its reverse (64033143402), we get a palindrome (20498166189402).

The spelling of 20434133046000 in words is "twenty trillion, four hundred thirty-four billion, one hundred thirty-three million, forty-six thousand".