128472432000 has 1024 divisors, whose sum is σ = 492727173120. Its totient is φ = 29322240000.

The previous prime is 128472431951. The next prime is 128472432013. The reversal of 128472432000 is 234274821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 769295917 + ... + 769296083.

It is an arithmetic number, because the mean of its divisors is an integer number (481178880).

Almost surely, 2^128472432000 is an apocalyptic number.

128472432000 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 128472432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246363586560).

128472432000 is an abundant number, since it is smaller than the sum of its proper divisors (364254741120).

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

128472432000 is a wasteful number, since it uses less digits than its factorization.

128472432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 128472432000 in words is "one hundred twenty-eight billion, four hundred seventy-two million, four hundred thirty-two thousand".