420401432120 has 32 divisors (see below), whose sum is σ = 976416232320. Its totient is φ = 162736037760.

The previous prime is 420401432107. The next prime is 420401432123. The reversal of 420401432120 is 21234104024.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420401432123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 169515467 + ... + 169517946.

It is an arithmetic number, because the mean of its divisors is an integer number (30513007260).

Almost surely, 2^420401432120 is an apocalyptic number.

420401432120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420401432120 is an abundant number, since it is smaller than the sum of its proper divisors (556014800200).

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

420401432120 is a wasteful number, since it uses less digits than its factorization.

420401432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339033455 (or 339033451 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 420401432120 its reverse (21234104024), we get a palindrome (441635536144).

The spelling of 420401432120 in words is "four hundred twenty billion, four hundred one million, four hundred thirty-two thousand, one hundred twenty".