128801728440 has 192 divisors, whose sum is σ = 521898024960. Its totient is φ = 26763989760.

The previous prime is 128801728417. The next prime is 128801728457. The reversal of 128801728440 is 44827108821.

128801728440 is a `hidden beast` number, since 128 + 80 + 1 + 7 + 2 + 8 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2295544 + ... + 2350983.

It is an arithmetic number, because the mean of its divisors is an integer number (2718218880).

Almost surely, 2^128801728440 is an apocalyptic number.

128801728440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128801728440 is an abundant number, since it is smaller than the sum of its proper divisors (393096296520).

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

128801728440 is a wasteful number, since it uses less digits than its factorization.

128801728440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646562 (or 4646555 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 128801728440 in words is "one hundred twenty-eight billion, eight hundred one million, seven hundred twenty-eight thousand, four hundred forty".