420413111300 has 288 divisors, whose sum is σ = 1154926080000. Its totient is φ = 129282531840.

The previous prime is 420413111291. The next prime is 420413111369. The reversal of 420413111300 is 3111314024.

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

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 95 ways as a sum of consecutive naturals, for example, 77866001 + ... + 77871399.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160000).

Almost surely, 2^420413111300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420413111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040000).

420413111300 is an abundant number, since it is smaller than the sum of its proper divisors (734512968700).

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

420413111300 is a wasteful number, since it uses less digits than its factorization.

420413111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 420413111300 its reverse (3111314024), we get a palindrome (423524425324).

The spelling of 420413111300 in words is "four hundred twenty billion, four hundred thirteen million, one hundred eleven thousand, three hundred".