202400130000 has 400 divisors, whose sum is σ = 698462170560. Its totient is φ = 50310144000.

The previous prime is 202400129947. The next prime is 202400130001. The reversal of 202400130000 is 31004202.

202400130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202400130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54568146 + ... + 54571854.

Almost surely, 2^202400130000 is an apocalyptic number.

202400130000 is a gapful number since it is divisible by the number (20) 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 202400130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349231085280).

202400130000 is an abundant number, since it is smaller than the sum of its proper divisors (496062040560).

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

202400130000 is a wasteful number, since it uses less digits than its factorization.

202400130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 202400130000 its reverse (31004202), we get a palindrome (202431134202).

The spelling of 202400130000 in words is "two hundred two billion, four hundred million, one hundred thirty thousand".