20435242400000 has 216 divisors, whose sum is σ = 53201850988608. Its totient is φ = 7818694400000.

The previous prime is 20435242399987. The next prime is 20435242400011. The reversal of 20435242400000 is 424253402.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17844695 + ... + 18955305.

It is an arithmetic number, because the mean of its divisors is an integer number (246304865688).

Almost surely, 2^{20435242400000} is an apocalyptic number.

20435242400000 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 20435242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26600925494304).

20435242400000 is an abundant number, since it is smaller than the sum of its proper divisors (32766608588608).

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

20435242400000 is an frugal number, since it uses more digits than its factorization.

20435242400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110675 (or 1110641 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 20435242400000 its reverse (424253402), we get a palindrome (20435666653402).

The spelling of 20435242400000 in words is "twenty trillion, four hundred thirty-five billion, two hundred forty-two million, four hundred thousand".