416838096901 has 8 divisors (see below), whose sum is σ = 442458635544. Its totient is φ = 391339852800.

The previous prime is 416838096893. The next prime is 416838096919. The reversal of 416838096901 is 109690838614.

It is a Cunningham number, because it is equal to 645630²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 287860148676 + 128977948225 = 536526^2 + 359135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416838096901 - 2³ = 416838096893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416838090901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30566610 + ... + 30580243.

It is an arithmetic number, because the mean of its divisors is an integer number (55307329443).

Almost surely, 2^416838096901 is an apocalyptic number.

It is an amenable number.

416838096901 is a deficient number, since it is larger than the sum of its proper divisors (25620538643).

416838096901 is a wasteful number, since it uses less digits than its factorization.

416838096901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61147271.

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 416838096901 in words is "four hundred sixteen billion, eight hundred thirty-eight million, ninety-six thousand, nine hundred one".