429056399745 has 48 divisors (see below), whose sum is σ = 744884197200. Its totient is φ = 228465377280.

The previous prime is 429056399729. The next prime is 429056399791. The reversal of 429056399745 is 547993650924.

429056399745 is a `hidden beast` number, since 4 + 29 + 0 + 563 + 9 + 9 + 7 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 45885495681 + 383170904064 = 214209^2 + 619008^2 .

It is not a de Polignac number, because 429056399745 - 2⁴ = 429056399729 is a prime.

It is a hoax number, since the sum of its digits (63) 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, 95747905 + ... + 95752385.

It is an arithmetic number, because the mean of its divisors is an integer number (15518420775).

Almost surely, 2^429056399745 is an apocalyptic number.

429056399745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429056399745 is a deficient number, since it is larger than the sum of its proper divisors (315827797455).

429056399745 is a wasteful number, since it uses less digits than its factorization.

429056399745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 429056399745 in words is "four hundred twenty-nine billion, fifty-six million, three hundred ninety-nine thousand, seven hundred forty-five".