128549210400 has 432 divisors, whose sum is σ = 497395492776. Its totient is φ = 31044648960.

The previous prime is 128549210381. The next prime is 128549210479. The reversal of 128549210400 is 4012945821.

128549210400 is a `hidden beast` number, since 1 + 2 + 8 + 549 + 2 + 104 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6516364176 + 122032846224 = 80724^2 + 349332^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4947844 + ... + 4973756.

Almost surely, 2^128549210400 is an apocalyptic number.

128549210400 is a gapful number since it is divisible by the number (10) 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 128549210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248697746388).

128549210400 is an abundant number, since it is smaller than the sum of its proper divisors (368846282376).

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

128549210400 is a wasteful number, since it uses less digits than its factorization.

128549210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26005 (or 25989 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 128549210400 in words is "one hundred twenty-eight billion, five hundred forty-nine million, two hundred ten thousand, four hundred".