420133234000 has 40 divisors (see below), whose sum is σ = 1015882164648. Its totient is φ = 168053292800.

The previous prime is 420133233997. The next prime is 420133234093. The reversal of 420133234000 is 432331024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 130456771344 + 289676462656 = 361188^2 + 538216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×420133234000² (a number of 24 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105031309 + ... + 105035308.

Almost surely, 2^420133234000 is an apocalyptic number.

420133234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420133234000 is an abundant number, since it is smaller than the sum of its proper divisors (595748930648).

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

420133234000 is a wasteful number, since it uses less digits than its factorization.

420133234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210066640 (or 210066624 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 420133234000 its reverse (432331024), we get a palindrome (420565565024).

The spelling of 420133234000 in words is "four hundred twenty billion, one hundred thirty-three million, two hundred thirty-four thousand".