420110111225040 has 160 divisors (see below), whose sum is σ = 1320211799786880. Its totient is φ = 110492189687808.

The previous prime is 420110111224997. The next prime is 420110111225111. The reversal of 420110111225040 is 40522111011024.

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 420110111225040.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 840166939 + ... + 840666821.

It is an arithmetic number, because the mean of its divisors is an integer number (8251323748668).

Almost surely, 2^{420110111225040} is an apocalyptic number.

420110111225040 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 420110111225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660105899893440).

420110111225040 is an abundant number, since it is smaller than the sum of its proper divisors (900101688561840).

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

420110111225040 is a wasteful number, since it uses less digits than its factorization.

420110111225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547941 (or 547935 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 420110111225040 its reverse (40522111011024), we get a palindrome (460632222236064).

The spelling of 420110111225040 in words is "four hundred twenty trillion, one hundred ten billion, one hundred eleven million, two hundred twenty-five thousand, forty".