420435003520 has 256 divisors, whose sum is σ = 1210279449600. Its totient is φ = 136434364416.

The previous prime is 420435003509. The next prime is 420435003559. The reversal of 420435003520 is 25300534024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141893559 + ... + 141896521.

It is an arithmetic number, because the mean of its divisors is an integer number (4727654100).

Almost surely, 2^420435003520 is an apocalyptic number.

420435003520 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 420435003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605139724800).

420435003520 is an abundant number, since it is smaller than the sum of its proper divisors (789844446080).

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

420435003520 is a wasteful number, since it uses less digits than its factorization.

420435003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 420435003520 its reverse (25300534024), we get a palindrome (445735537544).

The spelling of 420435003520 in words is "four hundred twenty billion, four hundred thirty-five million, three thousand, five hundred twenty".