4412693376 has 384 divisors, whose sum is σ = 16217510400. Its totient is φ = 1163040768.

The previous prime is 4412693353. The next prime is 4412693387. The reversal of 4412693376 is 6733962144.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829685 + ... + 2831243.

It is an arithmetic number, because the mean of its divisors is an integer number (42233100).

Almost surely, 2^4412693376 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 4412693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108755200).

4412693376 is an abundant number, since it is smaller than the sum of its proper divisors (11804817024).

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

4412693376 is a wasteful number, since it uses less digits than its factorization.

4412693376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1584 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 4412693376 is about 66428.1068223384. The cubic root of 4412693376 is about 1640.2167788003.

The spelling of 4412693376 in words is "four billion, four hundred twelve million, six hundred ninety-three thousand, three hundred seventy-six".