420110134400 has 192 divisors, whose sum is σ = 1142178904800. Its totient is φ = 151413964800.

The previous prime is 420110134393. The next prime is 420110134429. The reversal of 420110134400 is 4431011024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3924791 + ... + 4030409.

Almost surely, 2^420110134400 is an apocalyptic number.

420110134400 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 420110134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571089452400).

420110134400 is an abundant number, since it is smaller than the sum of its proper divisors (722068770400).

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

420110134400 is a wasteful number, since it uses less digits than its factorization.

420110134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105767 (or 105750 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 420110134400 its reverse (4431011024), we get a palindrome (424541145424).

The spelling of 420110134400 in words is "four hundred twenty billion, one hundred ten million, one hundred thirty-four thousand, four hundred".