128924032112640 has 1728 divisors, whose sum is σ = 476948061233280. Its totient is φ = 33435376680960.

The previous prime is 128924032112611. The next prime is 128924032112641. The reversal of 128924032112640 is 46211230429821.

128924032112640 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 2 + 403 + 211 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128924032112641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 475734435705 + ... + 475734435975.

It is an arithmetic number, because the mean of its divisors is an integer number (276011609510).

Almost surely, 2^{128924032112640} is an apocalyptic number.

128924032112640 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 128924032112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238474030616640).

128924032112640 is an abundant number, since it is smaller than the sum of its proper divisors (348024029120640).

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

128924032112640 is an frugal number, since it uses more digits than its factorization.

128924032112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 128924032112640 in words is "one hundred twenty-eight trillion, nine hundred twenty-four billion, thirty-two million, one hundred twelve thousand, six hundred forty".