128173738298400 has 108 divisors (see below), whose sum is σ = 451972644700122. Its totient is φ = 34179663544320.

The previous prime is 128173738298371. The next prime is 128173738298423. The reversal of 128173738298400 is 4892837371821.

128173738298400 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 73 + 73 + 8 + 2 + 98 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 117571603185936 + 10602135112464 = 10843044^2 + 3256092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8900946849 + ... + 8900961248.

Almost surely, 2^{128173738298400} is an apocalyptic number.

128173738298400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128173738298400 is an abundant number, since it is smaller than the sum of its proper divisors (323798906401722).

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

128173738298400 is a wasteful number, since it uses less digits than its factorization.

128173738298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17801908123 (or 17801908107 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 128173738298400 in words is "one hundred twenty-eight trillion, one hundred seventy-three billion, seven hundred thirty-eight million, two hundred ninety-eight thousand, four hundred".