420433335325344 has 48 divisors (see below), whose sum is σ = 1203968187525600. Its totient is φ = 127404041007360.

The previous prime is 420433335325343. The next prime is 420433335325363. The reversal of 420433335325344 is 443523533334024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 420433335325293 and 420433335325302.

It is not an unprimeable number, because it can be changed into a prime (420433335325343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199068813019 + ... + 199068815130.

It is an arithmetic number, because the mean of its divisors is an integer number (25082670573450).

Almost surely, 2^{420433335325344} is an apocalyptic number.

420433335325344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420433335325344 is an abundant number, since it is smaller than the sum of its proper divisors (783534852200256).

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

420433335325344 is a wasteful number, since it uses less digits than its factorization.

420433335325344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398137628173 (or 398137628165 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 48.

Adding to 420433335325344 its reverse (443523533334024), we get a palindrome (863956868659368).

The spelling of 420433335325344 in words is "four hundred twenty trillion, four hundred thirty-three billion, three hundred thirty-five million, three hundred twenty-five thousand, three hundred forty-four".