204480126653440 has 1408 divisors, whose sum is σ = 604362217282560. Its totient is φ = 65468891136000.

The previous prime is 204480126653431. The next prime is 204480126653441. The reversal of 204480126653440 is 44356621084402.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204480126653441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197947847164 + ... + 197947848196.

It is an arithmetic number, because the mean of its divisors is an integer number (429234529320).

Almost surely, 2^{204480126653440} is an apocalyptic number.

204480126653440 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 204480126653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302181108641280).

204480126653440 is an abundant number, since it is smaller than the sum of its proper divisors (399882090629120).

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

204480126653440 is a wasteful number, since it uses less digits than its factorization.

204480126653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 204480126653440 in words is "two hundred four trillion, four hundred eighty billion, one hundred twenty-six million, six hundred fifty-three thousand, four hundred forty".