420303104765334 has 144 divisors (see below), whose sum is σ = 1072149433009200. Its totient is φ = 118634133381120.

The previous prime is 420303104765333. The next prime is 420303104765351. The reversal of 420303104765334 is 433567401303024.

420303104765334 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 0 + 3 + 104 + 7 + 6 + 533 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 420303104765334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420303104765333) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1680757942 + ... + 1681007990.

It is an arithmetic number, because the mean of its divisors is an integer number (7445482173675).

Almost surely, 2^{420303104765334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420303104765334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536074716504600).

420303104765334 is an abundant number, since it is smaller than the sum of its proper divisors (651846328243866).

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

420303104765334 is a wasteful number, since it uses less digits than its factorization.

420303104765334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273115 (or 273105 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 420303104765334 in words is "four hundred twenty trillion, three hundred three billion, one hundred four million, seven hundred sixty-five thousand, three hundred thirty-four".