429722009955 has 48 divisors (see below), whose sum is σ = 851308436160. Its totient is φ = 196432902144.

The previous prime is 429722009933. The next prime is 429722009963. The reversal of 429722009955 is 559900227924.

429722009955 is a `hidden beast` number, since 429 + 7 + 2 + 200 + 9 + 9 + 5 + 5 = 666.

It is not a de Polignac number, because 429722009955 - 2⁸ = 429722009699 is a prime.

It is a super-2 number, since 2×429722009955² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7870791 + ... + 7925199.

It is an arithmetic number, because the mean of its divisors is an integer number (17735592420).

Almost surely, 2^429722009955 is an apocalyptic number.

429722009955 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

429722009955 is a deficient number, since it is larger than the sum of its proper divisors (421586426205).

429722009955 is a wasteful number, since it uses less digits than its factorization.

429722009955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79500 (or 79497 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 429722009955 in words is "four hundred twenty-nine billion, seven hundred twenty-two million, nine thousand, nine hundred fifty-five".