420402110112 has 144 divisors (see below), whose sum is σ = 1273603836960. Its totient is φ = 131158918656.

The previous prime is 420402110069. The next prime is 420402110129. The reversal of 420402110112 is 211011204024.

420402110112 is a `hidden beast` number, since 42 + 0 + 402 + 110 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8643 + ... + 916994.

It is an arithmetic number, because the mean of its divisors is an integer number (8844471090).

Almost surely, 2^420402110112 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 420402110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636801918480).

420402110112 is an abundant number, since it is smaller than the sum of its proper divisors (853201726848).

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

420402110112 is a wasteful number, since it uses less digits than its factorization.

420402110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925755 (or 925744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 420402110112 its reverse (211011204024), we get a palindrome (631413314136).

The spelling of 420402110112 in words is "four hundred twenty billion, four hundred two million, one hundred ten thousand, one hundred twelve".