416421614401 has 16 divisors (see below), whose sum is σ = 450202498704. Its totient is φ = 382892315904.

The previous prime is 416421614353. The next prime is 416421614417. The reversal of 416421614401 is 104416124614.

It can be written as a sum of positive squares in 8 ways, for example, as 75342400 + 416346272001 = 8680^2 + 645249^2 .

It is a cyclic number.

It is not a de Polignac number, because 416421614401 - 2²¹ = 416419517249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416421614461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5621335 + ... + 5694931.

It is an arithmetic number, because the mean of its divisors is an integer number (28137656169).

Almost surely, 2^416421614401 is an apocalyptic number.

It is an amenable number.

416421614401 is a deficient number, since it is larger than the sum of its proper divisors (33780884303).

416421614401 is a wasteful number, since it uses less digits than its factorization.

416421614401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75300.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 416421614401 in words is "four hundred sixteen billion, four hundred twenty-one million, six hundred fourteen thousand, four hundred one".