420430213443240 has 768 divisors, whose sum is σ = 1834779759321600. Its totient is φ = 80634258432000.

The previous prime is 420430213443221. The next prime is 420430213443269. The reversal of 420430213443240 is 42344312034024.

420430213443240 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 3 + 0 + 213 + 4 + 432 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420430213443195 and 420430213443204.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4216522506 + ... + 4216622214.

It is an arithmetic number, because the mean of its divisors is an integer number (2389036144950).

Almost surely, 2^{420430213443240} is an apocalyptic number.

420430213443240 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 420430213443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917389879660800).

420430213443240 is an abundant number, since it is smaller than the sum of its proper divisors (1414349545878360).

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

420430213443240 is a wasteful number, since it uses less digits than its factorization.

420430213443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111458 (or 111451 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 420430213443240 its reverse (42344312034024), we get a palindrome (462774525477264).

The spelling of 420430213443240 in words is "four hundred twenty trillion, four hundred thirty billion, two hundred thirteen million, four hundred forty-three thousand, two hundred forty".