431432420220000 has 720 divisors, whose sum is σ = 1623644183921760. Its totient is φ = 108258121728000.

The previous prime is 431432420219981. The next prime is 431432420220031. The reversal of 431432420220000 is 22024234134.

431432420220000 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 32 + 420 + 2 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×431432420220000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17959127989 + ... + 17959152011.

It is an arithmetic number, because the mean of its divisors is an integer number (2255061366558).

Almost surely, 2^{431432420220000} is an apocalyptic number.

431432420220000 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 431432420220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811822091960880).

431432420220000 is an abundant number, since it is smaller than the sum of its proper divisors (1192211763701760).

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

431432420220000 is a wasteful number, since it uses less digits than its factorization.

431432420220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29945 (or 29919 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 431432420220000 its reverse (22024234134), we get a palindrome (431454444454134).

The spelling of 431432420220000 in words is "four hundred thirty-one trillion, four hundred thirty-two billion, four hundred twenty million, two hundred twenty thousand".