30202020004000 has 192 divisors, whose sum is σ = 84615402991392. Its totient is φ = 10495543296000.

The previous prime is 30202020003997. The next prime is 30202020004001. The reversal of 30202020004000 is 40002020203.

It can be written as a sum of positive squares in 16 ways, for example, as 480376520464 + 29721643483536 = 693092^2 + 5451756^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (30202020004001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16198591 + ... + 17966590.

Almost surely, 2^{30202020004000} is an apocalyptic number.

It is an amenable number.

30202020004000 is an abundant number, since it is smaller than the sum of its proper divisors (54413382987392).

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

30202020004000 is a wasteful number, since it uses less digits than its factorization.

30202020004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34165236 (or 34165218 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 30202020004000 its reverse (40002020203), we get a palindrome (30242022024203).

The spelling of 30202020004000 in words is "thirty trillion, two hundred two billion, twenty million, four thousand".