128420539430400 has 1200 divisors, whose sum is σ = 555826722384384. Its totient is φ = 28670562385920.

The previous prime is 128420539430341. The next prime is 128420539430401. The reversal of 128420539430400 is 4034935024821.

128420539430400 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 205 + 3 + 9 + 4 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128420539430401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 311871049 + ... + 312282551.

Almost surely, 2^{128420539430400} is an apocalyptic number.

128420539430400 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 128420539430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277913361192192).

128420539430400 is an abundant number, since it is smaller than the sum of its proper divisors (427406182953984).

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

128420539430400 is an equidigital number, since it uses as much as digits as its factorization.

128420539430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411593 (or 411563 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 128420539430400 in words is "one hundred twenty-eight trillion, four hundred twenty billion, five hundred thirty-nine million, four hundred thirty thousand, four hundred".