420203052400 has 60 divisors (see below), whose sum is σ = 1011223782000. Its totient is φ = 167800522240.

The previous prime is 420203052359. The next prime is 420203052439. The reversal of 420203052400 is 4250302024.

It is a super-3 number, since 3×420203052400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637285 + ... + 1116484.

It is an arithmetic number, because the mean of its divisors is an integer number (16853729700).

Almost surely, 2^420203052400 is an apocalyptic number.

420203052400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420203052400 is an abundant number, since it is smaller than the sum of its proper divisors (591020729600).

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

420203052400 is a wasteful number, since it uses less digits than its factorization.

420203052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754386 (or 1754375 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 420203052400 its reverse (4250302024), we get a palindrome (424453354424).

The spelling of 420203052400 in words is "four hundred twenty billion, two hundred three million, fifty-two thousand, four hundred".