4435923816960 has 640 divisors, whose sum is σ = 15090346656000. Its totient is φ = 1109856878592.

The previous prime is 4435923816941. The next prime is 4435923816971. The reversal of 4435923816960 is 696183295344.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4435923816894 and 4435923816903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169500824 + ... + 1169504616.

It is an arithmetic number, because the mean of its divisors is an integer number (23578666650).

Almost surely, 2^{4435923816960} is an apocalyptic number.

4435923816960 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 4435923816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545173328000).

4435923816960 is an abundant number, since it is smaller than the sum of its proper divisors (10654422839040).

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

4435923816960 is a wasteful number, since it uses less digits than its factorization.

4435923816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 4435923816960 in words is "four trillion, four hundred thirty-five billion, nine hundred twenty-three million, eight hundred sixteen thousand, nine hundred sixty".