200344003134420 has 384 divisors, whose sum is σ = 577509237043200. Its totient is φ = 51878776320000.

The previous prime is 200344003134409. The next prime is 200344003134439. The reversal of 200344003134420 is 24431300443002.

It is a happy number.

200344003134420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72144040072 + ... + 72144042848.

It is an arithmetic number, because the mean of its divisors is an integer number (1503930304800).

Almost surely, 2^{200344003134420} is an apocalyptic number.

200344003134420 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 200344003134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288754618521600).

200344003134420 is an abundant number, since it is smaller than the sum of its proper divisors (377165233908780).

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

200344003134420 is a wasteful number, since it uses less digits than its factorization.

200344003134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 200344003134420 its reverse (24431300443002), we get a palindrome (224775303577422).

The spelling of 200344003134420 in words is "two hundred trillion, three hundred forty-four billion, three million, one hundred thirty-four thousand, four hundred twenty".