429045401457 has 24 divisors (see below), whose sum is σ = 638069201640. Its totient is φ = 277605619200.

The previous prime is 429045401443. The next prime is 429045401459. The reversal of 429045401457 is 754104540924.

429045401457 is a `hidden beast` number, since 4 + 2 + 90 + 4 + 540 + 14 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178921386081 + 250124015376 = 422991^2 + 500124^2 .

It is not a de Polignac number, because 429045401457 - 2⁴ = 429045401441 is a prime.

It is a super-2 number, since 2×429045401457² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429045401459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1472982 + ... + 1740047.

It is an arithmetic number, because the mean of its divisors is an integer number (26586216735).

Almost surely, 2^429045401457 is an apocalyptic number.

It is an amenable number.

429045401457 is a deficient number, since it is larger than the sum of its proper divisors (209023800183).

429045401457 is a wasteful number, since it uses less digits than its factorization.

429045401457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213473 (or 3213470 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 429045401457 in words is "four hundred twenty-nine billion, forty-five million, four hundred one thousand, four hundred fifty-seven".