20434044411040 has 192 divisors, whose sum is σ = 52401864936960. Its totient is φ = 7484985630720.

The previous prime is 20434044411023. The next prime is 20434044411073. The reversal of 20434044411040 is 4011444043402.

It is a junction number, because it is equal to n+sod(n) for n = 20434044410993 and 20434044411011.

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 31 ways as a sum of consecutive naturals, for example, 1070564377 + ... + 1070583463.

It is an arithmetic number, because the mean of its divisors is an integer number (272926379880).

Almost surely, 2^{20434044411040} is an apocalyptic number.

20434044411040 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 20434044411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200932468480).

20434044411040 is an abundant number, since it is smaller than the sum of its proper divisors (31967820525920).

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

20434044411040 is a wasteful number, since it uses less digits than its factorization.

20434044411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23175 (or 23167 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 20434044411040 its reverse (4011444043402), we get a palindrome (24445488454442).

The spelling of 20434044411040 in words is "twenty trillion, four hundred thirty-four billion, forty-four million, four hundred eleven thousand, forty".