420012661824 has 588 divisors, whose sum is σ = 1489429259388. Its totient is φ = 117050572800.

The previous prime is 420012661823. The next prime is 420012661883. The reversal of 420012661824 is 428166210024.

420012661824 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 12 + 6 + 618 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155734415424 + 264278246400 = 394632^2 + 514080^2 .

It is a tau number, because it is divible by the number of its divisors (588).

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

It is not an unprimeable number, because it can be changed into a prime (420012661823) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 93729664 + ... + 93734144.

Almost surely, 2^420012661824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420012661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744714629694).

420012661824 is an abundant number, since it is smaller than the sum of its proper divisors (1069416597564).

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

420012661824 is an equidigital number, since it uses as much as digits as its factorization.

420012661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 420012661824 its reverse (428166210024), we get a palindrome (848178871848).

The spelling of 420012661824 in words is "four hundred twenty billion, twelve million, six hundred sixty-one thousand, eight hundred twenty-four".