129011093375040 has 784 divisors, whose sum is σ = 470687890118400. Its totient is φ = 33650437201920.

The previous prime is 129011093375033. The next prime is 129011093375093. The reversal of 129011093375040 is 40573390110921.

129011093375040 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 1 + 109 + 3 + 37 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27750286636 + ... + 27750291284.

Almost surely, 2^{129011093375040} is an apocalyptic number.

129011093375040 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 129011093375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235343945059200).

129011093375040 is an abundant number, since it is smaller than the sum of its proper divisors (341676796743360).

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

129011093375040 is an equidigital number, since it uses as much as digits as its factorization.

129011093375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 129011093375040 in words is "one hundred twenty-nine trillion, eleven billion, ninety-three million, three hundred seventy-five thousand, forty".