420660240000000 has 5632 divisors, whose sum is σ = 2011786449813504. Its totient is φ = 75202560000000.

The previous prime is 420660239999953. The next prime is 420660240000043. The reversal of 420660240000000 is 42066024.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4084079999949 + ... + 4084080000051.

Almost surely, 2^{420660240000000} is an apocalyptic number.

420660240000000 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 420660240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005893224906752).

420660240000000 is an abundant number, since it is smaller than the sum of its proper divisors (1591126209813504).

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

420660240000000 is a wasteful number, since it uses less digits than its factorization.

420660240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420660240000000 its reverse (42066024), we get a palindrome (420660282066024).

420660240000000 divided by its reverse (42066024) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 4206 and 60240000000, that added together give a palindrome (60240004206).

The spelling of 420660240000000 in words is "four hundred twenty trillion, six hundred sixty billion, two hundred forty million", and thus it is an aban number.