128281190400 has 1680 divisors, whose sum is σ = 560448012960. Its totient is φ = 28665446400.

The previous prime is 128281190399. The next prime is 128281190441. The reversal of 128281190400 is 4091182821.

It is a happy number.

128281190400 is a `hidden beast` number, since 12 + 82 + 81 + 1 + 90 + 400 = 666.

It is a super-3 number, since 3×128281190400³ (a number of 34 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 3467059182 + ... + 3467059218.

Almost surely, 2^128281190400 is an apocalyptic number.

128281190400 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 128281190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280224006480).

128281190400 is an abundant number, since it is smaller than the sum of its proper divisors (432166822560).

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

128281190400 is a wasteful number, since it uses less digits than its factorization.

128281190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 128281190400 in words is "one hundred twenty-eight billion, two hundred eighty-one million, one hundred ninety thousand, four hundred".