420404040400 has 30 divisors (see below), whose sum is σ = 1010020708022. Its totient is φ = 168161616000.

The previous prime is 420404040391. The next prime is 420404040439. The reversal of 420404040400 is 4040404024.

It can be written as a sum of positive squares in 3 ways, for example, as 2850278544 + 417553761856 = 53388^2 + 646184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525504651 + ... + 525505450.

Almost surely, 2^420404040400 is an apocalyptic number.

420404040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420404040400 is an abundant number, since it is smaller than the sum of its proper divisors (589616667622).

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

420404040400 is a wasteful number, since it uses less digits than its factorization.

420404040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051010119 (or 1051010108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420404040400 its reverse (4040404024), we get a palindrome (424444444424).

The spelling of 420404040400 in words is "four hundred twenty billion, four hundred four million, forty thousand, four hundred".