2034200144400 has 120 divisors (see below), whose sum is σ = 6639168905280. Its totient is φ = 532218385920.

The previous prime is 2034200144359. The next prime is 2034200144413. The reversal of 2034200144400 is 44410024302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15928540 + ... + 16055739.

It is an arithmetic number, because the mean of its divisors is an integer number (55326407544).

Almost surely, 2^{2034200144400} is an apocalyptic number.

2034200144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034200144400 is an abundant number, since it is smaller than the sum of its proper divisors (4604968760880).

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

2034200144400 is a wasteful number, since it uses less digits than its factorization.

2034200144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31984353 (or 31984342 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2034200144400 its reverse (44410024302), we get a palindrome (2078610168702).

The spelling of 2034200144400 in words is "two trillion, thirty-four billion, two hundred million, one hundred forty-four thousand, four hundred".