420020030400 has 168 divisors, whose sum is σ = 1378648896240. Its totient is φ = 111953879040.

The previous prime is 420020030399. The next prime is 420020030401. The reversal of 420020030400 is 4030020024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420020030399) and next prime (420020030401).

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

It is a self number, because there is not a number n which added to its sum of digits gives 420020030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420020030401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11064252 + ... + 11102148.

It is an arithmetic number, because the mean of its divisors is an integer number (8206243430).

Almost surely, 2^420020030400 is an apocalyptic number.

420020030400 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 420020030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689324448120).

420020030400 is an abundant number, since it is smaller than the sum of its proper divisors (958628865840).

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

420020030400 is a wasteful number, since it uses less digits than its factorization.

420020030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40231 (or 40216 counting only the distinct ones).

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

Adding to 420020030400 its reverse (4030020024), we get a palindrome (424050050424).

The spelling of 420020030400 in words is "four hundred twenty billion, twenty million, thirty thousand, four hundred".