420402030000 has 200 divisors, whose sum is σ = 1358034889728. Its totient is φ = 112031136000.

The previous prime is 420402029987. The next prime is 420402030007. The reversal of 420402030000 is 30204024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (420402030007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54686157 + ... + 54693843.

Almost surely, 2^420402030000 is an apocalyptic number.

420402030000 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 420402030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679017444864).

420402030000 is an abundant number, since it is smaller than the sum of its proper divisors (937632859728).

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

420402030000 is a wasteful number, since it uses less digits than its factorization.

420402030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9520 counting only the distinct ones).

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

Adding to 420402030000 its reverse (30204024), we get a palindrome (420432234024).

The spelling of 420402030000 in words is "four hundred twenty billion, four hundred two million, thirty thousand".