128053440 has 112 divisors (see below), whose sum is σ = 451774560. Its totient is φ = 34145280.

The previous prime is 128053403. The next prime is 128053447. The reversal of 128053440 is 44350821.

128053440 is a `hidden beast` number, since 12 + 80 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128053447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230 + ... + 16050.

Almost surely, 2^128053440 is an apocalyptic number.

128053440 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 128053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225887280).

128053440 is an abundant number, since it is smaller than the sum of its proper divisors (323721120).

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

128053440 is a wasteful number, since it uses less digits than its factorization.

128053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14847 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128053440 is about 11316.0699891791. The cubic root of 128053440 is about 504.0385458048.

The spelling of 128053440 in words is "one hundred twenty-eight million, fifty-three thousand, four hundred forty".