129304239840 has 240 divisors, whose sum is σ = 456629164992. Its totient is φ = 34459001856.

The previous prime is 129304239821. The next prime is 129304239847. The reversal of 129304239840 is 48932403921.

129304239840 = T₃₂₅₀₁ + T₃₂₅₀₂ + ... + T₃₂₇₄₃.

129304239840 is a `hidden beast` number, since 12 + 93 + 0 + 423 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129304239847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34692057 + ... + 34695783.

Almost surely, 2^129304239840 is an apocalyptic number.

129304239840 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 129304239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228314582496).

129304239840 is an abundant number, since it is smaller than the sum of its proper divisors (327324925152).

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

129304239840 is a wasteful number, since it uses less digits than its factorization.

129304239840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 129304239840 in words is "one hundred twenty-nine billion, three hundred four million, two hundred thirty-nine thousand, eight hundred forty".