128343608400 has 240 divisors, whose sum is σ = 485017591808. Its totient is φ = 28389312000.

The previous prime is 128343608381. The next prime is 128343608429. The reversal of 128343608400 is 4806343821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13965 + ... + 506835.

Almost surely, 2^128343608400 is an apocalyptic number.

128343608400 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 128343608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242508795904).

128343608400 is an abundant number, since it is smaller than the sum of its proper divisors (356673983408).

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

128343608400 is a wasteful number, since it uses less digits than its factorization.

128343608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492930 (or 492919 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 128343608400 in words is "one hundred twenty-eight billion, three hundred forty-three million, six hundred eight thousand, four hundred".