420463032192 has 1024 divisors, whose sum is σ = 1525593600000. Its totient is φ = 115221657600.

The previous prime is 420463032191. The next prime is 420463032217. The reversal of 420463032192 is 291230364024.

420463032192 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 630 + 3 + 2 + 19 + 2 = 666.

It is a super-3 number, since 3×420463032192³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420463032191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2784523317 + ... + 2784523467.

It is an arithmetic number, because the mean of its divisors is an integer number (1489837500).

Almost surely, 2^420463032192 is an apocalyptic number.

420463032192 is a gapful number since it is divisible by the number (42) 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 420463032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762796800000).

420463032192 is an abundant number, since it is smaller than the sum of its proper divisors (1105130567808).

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

420463032192 is an frugal number, since it uses more digits than its factorization.

420463032192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 420463032192 in words is "four hundred twenty billion, four hundred sixty-three million, thirty-two thousand, one hundred ninety-two".