429139115802120 has 128 divisors (see below), whose sum is σ = 1288315933107840. Its totient is φ = 114357235537920.

The previous prime is 429139115801983. The next prime is 429139115802121. The reversal of 429139115802120 is 21208511931924.

It is a super-2 number, since 2×429139115802120² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 429139115802120.

It is not an unprimeable number, because it can be changed into a prime (429139115802121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412390699 + ... + 2412568581.

It is an arithmetic number, because the mean of its divisors is an integer number (10064968227405).

Almost surely, 2^{429139115802120} is an apocalyptic number.

429139115802120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429139115802120 is an abundant number, since it is smaller than the sum of its proper divisors (859176817305720).

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

429139115802120 is a wasteful number, since it uses less digits than its factorization.

429139115802120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191815 (or 191811 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 429139115802120 in words is "four hundred twenty-nine trillion, one hundred thirty-nine billion, one hundred fifteen million, eight hundred two thousand, one hundred twenty".