416448251401 has 16 divisors (see below), whose sum is σ = 521239017600. Its totient is φ = 323912809728.

The previous prime is 416448251393. The next prime is 416448251447. The reversal of 416448251401 is 104152844614.

It is a cyclic number.

It is not a de Polignac number, because 416448251401 - 2³ = 416448251393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416448251801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38777296 + ... + 38788033.

It is an arithmetic number, because the mean of its divisors is an integer number (32577438600).

Almost surely, 2^416448251401 is an apocalyptic number.

It is an amenable number.

416448251401 is a deficient number, since it is larger than the sum of its proper divisors (104790766199).

416448251401 is a wasteful number, since it uses less digits than its factorization.

416448251401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77565408.

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 416448251401 in words is "four hundred sixteen billion, four hundred forty-eight million, two hundred fifty-one thousand, four hundred one".