420265377168 has 240 divisors, whose sum is σ = 1360923270336. Its totient is φ = 110771297280.

The previous prime is 420265377143. The next prime is 420265377193. The reversal of 420265377168 is 861773562024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420265377143) and next prime (420265377193).

It is a super-2 number, since 2×420265377168² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420265377168.

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 47 ways as a sum of consecutive naturals, for example, 67661583 + ... + 67667793.

Almost surely, 2^420265377168 is an apocalyptic number.

420265377168 is a gapful number since it is divisible by the number (48) 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 420265377168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680461635168).

420265377168 is an abundant number, since it is smaller than the sum of its proper divisors (940657893168).

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

420265377168 is a wasteful number, since it uses less digits than its factorization.

420265377168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 420265377168 in words is "four hundred twenty billion, two hundred sixty-five million, three hundred seventy-seven thousand, one hundred sixty-eight".