128142415420272 has 320 divisors, whose sum is σ = 411273046840320. Its totient is φ = 37870227532800.

The previous prime is 128142415420247. The next prime is 128142415420291. The reversal of 128142415420272 is 272024514241821.

128142415420272 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 42 + 41 + 542 + 0 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40536622 + ... + 43583282.

It is an arithmetic number, because the mean of its divisors is an integer number (1285228271376).

Almost surely, 2^{128142415420272} is an apocalyptic number.

128142415420272 is a gapful number since it is divisible by the number (12) 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 128142415420272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205636523420160).

128142415420272 is an abundant number, since it is smaller than the sum of its proper divisors (283130631420048).

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

128142415420272 is a wasteful number, since it uses less digits than its factorization.

128142415420272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046909 (or 3046897 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 128142415420272 in words is "one hundred twenty-eight trillion, one hundred forty-two billion, four hundred fifteen million, four hundred twenty thousand, two hundred seventy-two".