4096694880 has 480 divisors, whose sum is σ = 15455784960. Its totient is φ = 1018967040.

The previous prime is 4096694809. The next prime is 4096694897. The reversal of 4096694880 is 884966904.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31272415 + ... + 31272545.

It is an arithmetic number, because the mean of its divisors is an integer number (32199552).

Almost surely, 2^4096694880 is an apocalyptic number.

4096694880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727892480).

4096694880 is an abundant number, since it is smaller than the sum of its proper divisors (11359090080).

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

4096694880 is a wasteful number, since it uses less digits than its factorization.

4096694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4096694880 is about 64005.4285197748. The cubic root of 4096694880 is about 1600.0904740506.

The spelling of 4096694880 in words is "four billion, ninety-six million, six hundred ninety-four thousand, eight hundred eighty".