420500240400 has 240 divisors, whose sum is σ = 1444654232640. Its totient is φ = 104226969600.

The previous prime is 420500240393. The next prime is 420500240441. The reversal of 420500240400 is 4042005024.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1034410 + ... + 1382390.

It is an arithmetic number, because the mean of its divisors is an integer number (6019392636).

Almost surely, 2^420500240400 is an apocalyptic number.

420500240400 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 420500240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722327116320).

420500240400 is an abundant number, since it is smaller than the sum of its proper divisors (1024153992240).

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

420500240400 is a wasteful number, since it uses less digits than its factorization.

420500240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348074 (or 348063 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 420500240400 its reverse (4042005024), we get a palindrome (424542245424).

The spelling of 420500240400 in words is "four hundred twenty billion, five hundred million, two hundred forty thousand, four hundred".