420254406402144 has 96 divisors (see below), whose sum is σ = 1115662438719360. Its totient is φ = 138498464197632.

The previous prime is 420254406402097. The next prime is 420254406402269. The reversal of 420254406402144 is 441204604452024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×420254406402144² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420254406402096 and 420254406402105.

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 15 ways as a sum of consecutive naturals, for example, 93872739 + ... + 98247645.

It is an arithmetic number, because the mean of its divisors is an integer number (11621483736660).

Almost surely, 2^{420254406402144} 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 420254406402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557831219359680).

420254406402144 is an abundant number, since it is smaller than the sum of its proper divisors (695408032317216).

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

420254406402144 is a wasteful number, since it uses less digits than its factorization.

420254406402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386252 (or 4386244 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

The spelling of 420254406402144 in words is "four hundred twenty trillion, two hundred fifty-four billion, four hundred six million, four hundred two thousand, one hundred forty-four".