128861990400 has 960 divisors, whose sum is σ = 516922914816. Its totient is φ = 27869184000.

The previous prime is 128861990371. The next prime is 128861990423. The reversal of 128861990400 is 4099168821.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 128861990400.

It is a congruent number.

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, 170226822 + ... + 170227578.

Almost surely, 2^128861990400 is an apocalyptic number.

128861990400 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 128861990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258461457408).

128861990400 is an abundant number, since it is smaller than the sum of its proper divisors (388060924416).

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

128861990400 is a wasteful number, since it uses less digits than its factorization.

128861990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 128861990400 in words is "one hundred twenty-eight billion, eight hundred sixty-one million, nine hundred ninety thousand, four hundred".