420340200000 has 672 divisors, whose sum is σ = 1628099294976. Its totient is φ = 93696000000.

The previous prime is 420340199893. The next prime is 420340200013. The reversal of 420340200000 is 2043024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172198780 + ... + 172201220.

It is an arithmetic number, because the mean of its divisors is an integer number (2422766808).

Almost surely, 2^420340200000 is an apocalyptic number.

420340200000 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 420340200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814049647488).

420340200000 is an abundant number, since it is smaller than the sum of its proper divisors (1207759094976).

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

420340200000 is an equidigital number, since it uses as much as digits as its factorization.

420340200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 420340200000 its reverse (2043024), we get a palindrome (420342243024).

It can be divided in two parts, 420 and 340200000, that multiplied together give a square (142884000000 = 378000²).

The spelling of 420340200000 in words is "four hundred twenty billion, three hundred forty million, two hundred thousand".