4403991955968 has 640 divisors, whose sum is σ = 14420831293440. Its totient is φ = 1315931996160.

The previous prime is 4403991955879. The next prime is 4403991956009. The reversal of 4403991955968 is 8695591993044.

4403991955968 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 9 + 9 + 1 + 9 + 559 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4403991955896 and 4403991955905.

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, 4965041221 + ... + 4965042107.

It is an arithmetic number, because the mean of its divisors is an integer number (22532548896).

Almost surely, 2^{4403991955968} is an apocalyptic number.

4403991955968 is a gapful number since it is divisible by the number (48) 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 4403991955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210415646720).

4403991955968 is an abundant number, since it is smaller than the sum of its proper divisors (10016839337472).

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

4403991955968 is a wasteful number, since it uses less digits than its factorization.

4403991955968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 4403991955968 in words is "four trillion, four hundred three billion, nine hundred ninety-one million, nine hundred fifty-five thousand, nine hundred sixty-eight".