420311401000 has 64 divisors (see below), whose sum is σ = 983630466000. Its totient is φ = 168107161600.

The previous prime is 420311400983. The next prime is 420311401093. The reversal of 420311401000 is 104113024.

It can be written as a sum of positive squares in 8 ways, for example, as 22026715396 + 398284685604 = 148414^2 + 631098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14474496 + ... + 14503504.

Almost surely, 2^420311401000 is an apocalyptic number.

420311401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420311401000 is an abundant number, since it is smaller than the sum of its proper divisors (563319065000).

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

420311401000 is a wasteful number, since it uses less digits than its factorization.

420311401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43519 (or 43505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 420311401000 its reverse (104113024), we get a palindrome (420415514024).

The spelling of 420311401000 in words is "four hundred twenty billion, three hundred eleven million, four hundred one thousand".