128092901040 has 720 divisors, whose sum is σ = 488456736768. Its totient is φ = 31180391424.

The previous prime is 128092901009. The next prime is 128092901071. The reversal of 128092901040 is 40109290821.

It is an interprime number because it is at equal distance from previous prime (128092901009) and next prime (128092901071).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128092900986 and 128092901004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 417240567 + ... + 417240873.

Almost surely, 2^128092901040 is an apocalyptic number.

128092901040 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 128092901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244228368384).

128092901040 is an abundant number, since it is smaller than the sum of its proper divisors (360363835728).

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

128092901040 is a wasteful number, since it uses less digits than its factorization.

128092901040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

It can be divided in two parts, 12809 and 2901040, that added together give a square (2913849 = 1707²).

The spelling of 128092901040 in words is "one hundred twenty-eight billion, ninety-two million, nine hundred one thousand, forty".