2004200451360 has 144 divisors (see below), whose sum is σ = 6857381643840. Its totient is φ = 533043141120.

The previous prime is 2004200451359. The next prime is 2004200451361. The reversal of 2004200451360 is 631540024002.

2004200451360 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 200 + 451 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2004200451359) and next prime (2004200451361).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2004200451361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290396 + ... + 2381915.

It is an arithmetic number, because the mean of its divisors is an integer number (47620705860).

Almost surely, 2^{2004200451360} is an apocalyptic number.

2004200451360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004200451360 is an abundant number, since it is smaller than the sum of its proper divisors (4853181192480).

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

2004200451360 is a wasteful number, since it uses less digits than its factorization.

2004200451360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672711 (or 3672700 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2004200451360 its reverse (631540024002), we get a palindrome (2635740475362).

The spelling of 2004200451360 in words is "two trillion, four billion, two hundred million, four hundred fifty-one thousand, three hundred sixty".