128400426201600 has 960 divisors, whose sum is σ = 541174256916480. Its totient is φ = 29209459507200.

The previous prime is 128400426201571. The next prime is 128400426201613. The reversal of 128400426201600 is 6102624004821.

128400426201600 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 0 + 4 + 26 + 20 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 510325429 + ... + 510576971.

It is an arithmetic number, because the mean of its divisors is an integer number (563723184288).

Almost surely, 2^{128400426201600} is an apocalyptic number.

128400426201600 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 128400426201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270587128458240).

128400426201600 is an abundant number, since it is smaller than the sum of its proper divisors (412773830714880).

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

128400426201600 is a wasteful number, since it uses less digits than its factorization.

128400426201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251798 (or 251771 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 128400426201600 in words is "one hundred twenty-eight trillion, four hundred billion, four hundred twenty-six million, two hundred one thousand, six hundred".