420602406714300 has 288 divisors, whose sum is σ = 1279472538516480. Its totient is φ = 106552408089600.

The previous prime is 420602406714283. The next prime is 420602406714311. The reversal of 420602406714300 is 3417604206024.

It is a super-2 number, since 2×420602406714300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217630230 + ... + 219554370.

It is an arithmetic number, because the mean of its divisors is an integer number (4442612980960).

Almost surely, 2^{420602406714300} 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 420602406714300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639736269258240).

420602406714300 is an abundant number, since it is smaller than the sum of its proper divisors (858870131802180).

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

420602406714300 is a wasteful number, since it uses less digits than its factorization.

420602406714300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924661 (or 1924654 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 420602406714300 in words is "four hundred twenty trillion, six hundred two billion, four hundred six million, seven hundred fourteen thousand, three hundred".