128412237408 has 384 divisors, whose sum is σ = 448645091328. Its totient is φ = 31194906624.

The previous prime is 128412237367. The next prime is 128412237427. The reversal of 128412237408 is 804732214821.

It is a super-2 number, since 2×128412237408² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 128412237408.

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 63 ways as a sum of consecutive naturals, for example, 6970866 + ... + 6989262.

It is an arithmetic number, because the mean of its divisors is an integer number (1168346592).

Almost surely, 2^128412237408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128412237408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224322545664).

128412237408 is an abundant number, since it is smaller than the sum of its proper divisors (320232853920).

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

128412237408 is a wasteful number, since it uses less digits than its factorization.

128412237408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 128412237408 in words is "one hundred twenty-eight billion, four hundred twelve million, two hundred thirty-seven thousand, four hundred eight".