420435110000 has 100 divisors (see below), whose sum is σ = 1029354876000. Its totient is φ = 166284096000.

The previous prime is 420435109981. The next prime is 420435110023. The reversal of 420435110000 is 11534024.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 653801 + ... + 1126199.

It is an arithmetic number, because the mean of its divisors is an integer number (10293548760).

Almost surely, 2^420435110000 is an apocalyptic number.

420435110000 is a gapful number since it is divisible by the number (40) 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 420435110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514677438000).

420435110000 is an abundant number, since it is smaller than the sum of its proper divisors (608919766000).

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

420435110000 is an equidigital number, since it uses as much as digits as its factorization.

420435110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472516 (or 472495 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 420435110000 its reverse (11534024), we get a palindrome (420446644024).

The spelling of 420435110000 in words is "four hundred twenty billion, four hundred thirty-five million, one hundred ten thousand".