420310945600 has 1008 divisors, whose sum is σ = 1368083437056. Its totient is φ = 125798400000.

The previous prime is 420310945577. The next prime is 420310945603. The reversal of 420310945600 is 6549013024.

It is a happy number.

It is a super-2 number, since 2×420310945600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420310945603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1674545475 + ... + 1674545725.

It is an arithmetic number, because the mean of its divisors is an integer number (1357225632).

Almost surely, 2^420310945600 is an apocalyptic number.

420310945600 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 420310945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684041718528).

420310945600 is an abundant number, since it is smaller than the sum of its proper divisors (947772491456).

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

420310945600 is a wasteful number, since it uses less digits than its factorization.

420310945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 420310945600 its reverse (6549013024), we get a palindrome (426859958624).

The spelling of 420310945600 in words is "four hundred twenty billion, three hundred ten million, nine hundred forty-five thousand, six hundred".