420144111240 has 256 divisors, whose sum is σ = 1529734809600. Its totient is φ = 90173067264.

The previous prime is 420144111161. The next prime is 420144111269. The reversal of 420144111240 is 42111441024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420144111240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686999 + ... + 1919961.

It is an arithmetic number, because the mean of its divisors is an integer number (5975526600).

Almost surely, 2^420144111240 is an apocalyptic number.

420144111240 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 420144111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764867404800).

420144111240 is an abundant number, since it is smaller than the sum of its proper divisors (1109590698360).

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

420144111240 is a wasteful number, since it uses less digits than its factorization.

420144111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233116 (or 233112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 420144111240 its reverse (42111441024), we get a palindrome (462255552264).

The spelling of 420144111240 in words is "four hundred twenty billion, one hundred forty-four million, one hundred eleven thousand, two hundred forty".