420040431200 has 144 divisors (see below), whose sum is σ = 1142382664080. Its totient is φ = 149743749120.

The previous prime is 420040431121. The next prime is 420040431227. The reversal of 420040431200 is 2134040024.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394754 + ... + 997953.

It is an arithmetic number, because the mean of its divisors is an integer number (7933212945).

Almost surely, 2^420040431200 is an apocalyptic number.

420040431200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420040431200 is an abundant number, since it is smaller than the sum of its proper divisors (722342232880).

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

420040431200 is a wasteful number, since it uses less digits than its factorization.

420040431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392769 (or 1392756 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420040431200 its reverse (2134040024), we get a palindrome (422174471224).

The spelling of 420040431200 in words is "four hundred twenty billion, forty million, four hundred thirty-one thousand, two hundred".