128207008440 has 192 divisors, whose sum is σ = 497129421600. Its totient is φ = 29304446976.

The previous prime is 128207008417. The next prime is 128207008451. The reversal of 128207008440 is 44800702821.

128207008440 is a `hidden beast` number, since 1 + 2 + 8 + 207 + 0 + 0 + 8 + 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 = 128207008395 and 128207008404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158409 + ... + 1264248.

Almost surely, 2^128207008440 is an apocalyptic number.

128207008440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128207008440 is an abundant number, since it is smaller than the sum of its proper divisors (368922413160).

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

128207008440 is a wasteful number, since it uses less digits than its factorization.

128207008440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422691 (or 2422674 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 128207008440 in words is "one hundred twenty-eight billion, two hundred seven million, eight thousand, four hundred forty".