128840107155840 has 768 divisors, whose sum is σ = 476657326080000. Its totient is φ = 31970333491200.

The previous prime is 128840107155811. The next prime is 128840107155889. The reversal of 128840107155840 is 48551701048821.

128840107155840 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 4 + 0 + 10 + 71 + 558 + 4 + 0 = 666.

It is a super-2 number, since 2×128840107155840² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 8258444040 + ... + 8258459640.

It is an arithmetic number, because the mean of its divisors is an integer number (620647560000).

Almost surely, 2^{128840107155840} is an apocalyptic number.

128840107155840 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 128840107155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238328663040000).

128840107155840 is an abundant number, since it is smaller than the sum of its proper divisors (347817218924160).

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

128840107155840 is a wasteful number, since it uses less digits than its factorization.

128840107155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16983 (or 16968 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 128840107155840 in words is "one hundred twenty-eight trillion, eight hundred forty billion, one hundred seven million, one hundred fifty-five thousand, eight hundred forty".