456821029401 has 64 divisors (see below), whose sum is σ = 704207001600. Its totient is φ = 260711306240.

The previous prime is 456821029391. The next prime is 456821029417. The reversal of 456821029401 is 104920128654.

It is not a de Polignac number, because 456821029401 - 2⁹ = 456821028889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456821029421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12761410 + ... + 12797156.

It is an arithmetic number, because the mean of its divisors is an integer number (11003234400).

Almost surely, 2^456821029401 is an apocalyptic number.

It is an amenable number.

456821029401 is a deficient number, since it is larger than the sum of its proper divisors (247385972199).

456821029401 is a wasteful number, since it uses less digits than its factorization.

456821029401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36046.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 456821029401 in words is "four hundred fifty-six billion, eight hundred twenty-one million, twenty-nine thousand, four hundred one".