420242222400 has 1344 divisors, whose sum is σ = 1866780518400. Its totient is φ = 79928524800.

The previous prime is 420242222381. The next prime is 420242222441. The reversal of 420242222400 is 4222242024.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 715914907 + ... + 715915493.

It is an arithmetic number, because the mean of its divisors is an integer number (1388973600).

Almost surely, 2^420242222400 is an apocalyptic number.

420242222400 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 420242222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933390259200).

420242222400 is an abundant number, since it is smaller than the sum of its proper divisors (1446538296000).

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

420242222400 is a wasteful number, since it uses less digits than its factorization.

420242222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 420242222400 its reverse (4222242024), we get a palindrome (424464464424).

The spelling of 420242222400 in words is "four hundred twenty billion, two hundred forty-two million, two hundred twenty-two thousand, four hundred".