416276942364 has 576 divisors, whose sum is σ = 1223935372800. Its totient is φ = 122161830912.

The previous prime is 416276942359. The next prime is 416276942381. The reversal of 416276942364 is 463249672614.

416276942364 is a `hidden beast` number, since 4 + 1 + 6 + 276 + 9 + 4 + 2 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 416276942364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5702423832 + ... + 5702423904.

It is an arithmetic number, because the mean of its divisors is an integer number (2124887800).

Almost surely, 2^416276942364 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 416276942364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611967686400).

416276942364 is an abundant number, since it is smaller than the sum of its proper divisors (807658430436).

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

416276942364 is a wasteful number, since it uses less digits than its factorization.

416276942364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 260 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 416276942364 in words is "four hundred sixteen billion, two hundred seventy-six million, nine hundred forty-two thousand, three hundred sixty-four".