416488697856 has 1560 divisors, whose sum is σ = 1683953091216. Its totient is φ = 101072240640.

The previous prime is 416488697809. The next prime is 416488697921. The reversal of 416488697856 is 658796884614.

416488697856 is a `hidden beast` number, since 4 + 1 + 6 + 488 + 6 + 97 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3040063420 + ... + 3040063556.

Almost surely, 2^416488697856 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 416488697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841976545608).

416488697856 is an abundant number, since it is smaller than the sum of its proper divisors (1267464393360).

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

416488697856 is a wasteful number, since it uses less digits than its factorization.

416488697856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 177 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 416488697856 in words is "four hundred sixteen billion, four hundred eighty-eight million, six hundred ninety-seven thousand, eight hundred fifty-six".