420629695200 has 864 divisors, whose sum is σ = 1807212580992. Its totient is φ = 94120704000.

The previous prime is 420629695169. The next prime is 420629695207. The reversal of 420629695200 is 2596926024.

420629695200 is a `hidden beast` number, since 4 + 2 + 0 + 62 + 9 + 69 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420629695207) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 27791635 + ... + 27806765.

It is an arithmetic number, because the mean of its divisors is an integer number (2091681228).

Almost surely, 2^420629695200 is an apocalyptic number.

420629695200 is a gapful number since it is divisible by the number (40) 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 420629695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903606290496).

420629695200 is an abundant number, since it is smaller than the sum of its proper divisors (1386582885792).

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

420629695200 is a wasteful number, since it uses less digits than its factorization.

420629695200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190 (or 15165 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 420629695200 in words is "four hundred twenty billion, six hundred twenty-nine million, six hundred ninety-five thousand, two hundred".