128365201440 has 192 divisors, whose sum is σ = 513460926720. Its totient is φ = 29340610560.

The previous prime is 128365201397. The next prime is 128365201469. The reversal of 128365201440 is 44102563821.

It is a happy number.

128365201440 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 6 + 5 + 201 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128365201395 and 128365201404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092201 + ... + 2152680.

It is an arithmetic number, because the mean of its divisors is an integer number (2674275660).

Almost surely, 2^128365201440 is an apocalyptic number.

128365201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128365201440 is an abundant number, since it is smaller than the sum of its proper divisors (385095725280).

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

128365201440 is a wasteful number, since it uses less digits than its factorization.

128365201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244912 (or 4244898 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 128365201440 in words is "one hundred twenty-eight billion, three hundred sixty-five million, two hundred one thousand, four hundred forty".