202040400420 has 36 divisors (see below), whose sum is σ = 612855881820. Its totient is φ = 53877440064.

The previous prime is 202040400413. The next prime is 202040400467. The reversal of 202040400420 is 24004040202.

202040400420 is a `hidden beast` number, since 2 + 0 + 204 + 0 + 40 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139596387876 + 62444012544 = 373626^2 + 249888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 202040400393 and 202040400402.

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, 561223155 + ... + 561223514.

It is an arithmetic number, because the mean of its divisors is an integer number (17023774495).

Almost surely, 2^202040400420 is an apocalyptic number.

202040400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202040400420 is an abundant number, since it is smaller than the sum of its proper divisors (410815481400).

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

202040400420 is a wasteful number, since it uses less digits than its factorization.

202040400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122446684 (or 1122446679 counting only the distinct ones).

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

Adding to 202040400420 its reverse (24004040202), we get a palindrome (226044440622).

The spelling of 202040400420 in words is "two hundred two billion, forty million, four hundred thousand, four hundred twenty".