420020240400 has 120 divisors (see below), whose sum is σ = 1494960968160. Its totient is φ = 112005394560.

The previous prime is 420020240369. The next prime is 420020240477. The reversal of 420020240400 is 4042020024.

420020240400 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 20 + 240 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19434582 + ... + 19456181.

It is an arithmetic number, because the mean of its divisors is an integer number (12458008068).

Almost surely, 2^420020240400 is an apocalyptic number.

420020240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420020240400 is an abundant number, since it is smaller than the sum of its proper divisors (1074940727760).

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

420020240400 is a wasteful number, since it uses less digits than its factorization.

420020240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38890790 (or 38890773 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 420020240400 its reverse (4042020024), we get a palindrome (424062260424).

The spelling of 420020240400 in words is "four hundred twenty billion, twenty million, two hundred forty thousand, four hundred".