129026701440 has 1024 divisors, whose sum is σ = 569929651200. Its totient is φ = 27196342272.

The previous prime is 129026701423. The next prime is 129026701457. The reversal of 129026701440 is 44107620921.

It is a happy number.

129026701440 is a `hidden beast` number, since 129 + 0 + 26 + 70 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (129026701423) and next prime (129026701457).

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 = 129026701395 and 129026701404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127370374 + ... + 127371386.

It is an arithmetic number, because the mean of its divisors is an integer number (556571925).

Almost surely, 2^129026701440 is an apocalyptic number.

129026701440 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 129026701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284964825600).

129026701440 is an abundant number, since it is smaller than the sum of its proper divisors (440902949760).

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

129026701440 is an equidigital number, since it uses as much as digits as its factorization.

129026701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 129026701440 in words is "one hundred twenty-nine billion, twenty-six million, seven hundred one thousand, four hundred forty".