420420430434240 has 896 divisors, whose sum is σ = 1535456910182400. Its totient is φ = 108232426782720.

The previous prime is 420420430434239. The next prime is 420420430434247. The reversal of 420420430434240 is 42434034024024.

420420430434240 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 2 + 0 + 4 + 304 + 342 + 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 = 420420430434195 and 420420430434204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420420430434247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20118687472 + ... + 20118708368.

Almost surely, 2^{420420430434240} is an apocalyptic number.

420420430434240 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 420420430434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767728455091200).

420420430434240 is an abundant number, since it is smaller than the sum of its proper divisors (1115036479748160).

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

420420430434240 is a wasteful number, since it uses less digits than its factorization.

420420430434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21690 (or 21674 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 420420430434240 its reverse (42434034024024), we get a palindrome (462854464458264).

The spelling of 420420430434240 in words is "four hundred twenty trillion, four hundred twenty billion, four hundred thirty million, four hundred thirty-four thousand, two hundred forty".