407351608416 has 96 divisors (see below), whose sum is σ = 1189077120000. Its totient is φ = 135673211520.

The previous prime is 407351608399. The next prime is 407351608427. The reversal of 407351608416 is 614806153704.

407351608416 is a `hidden beast` number, since 4 + 0 + 7 + 35 + 1 + 608 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872085 + ... + 1255083.

It is an arithmetic number, because the mean of its divisors is an integer number (12386220000).

Almost surely, 2^407351608416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407351608416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594538560000).

407351608416 is an abundant number, since it is smaller than the sum of its proper divisors (781725511584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407351608416 is a wasteful number, since it uses less digits than its factorization.

407351608416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384249 (or 384235 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 407351608416 in words is "four hundred seven billion, three hundred fifty-one million, six hundred eight thousand, four hundred sixteen".