4103993952 has 144 divisors (see below), whose sum is σ = 12230002512. Its totient is φ = 1353646080.

The previous prime is 4103993941. The next prime is 4103993969. The reversal of 4103993952 is 2593993014.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4103993898 and 4103993907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751552 + ... + 756992.

It is an arithmetic number, because the mean of its divisors is an integer number (84930573).

Almost surely, 2^4103993952 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 4103993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115001256).

4103993952 is an abundant number, since it is smaller than the sum of its proper divisors (8126008560).

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

4103993952 is an equidigital number, since it uses as much as digits as its factorization.

4103993952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 4103993952 is about 64062.4223082456. The cubic root of 4103993952 is about 1601.0402027565.

The spelling of 4103993952 in words is "four billion, one hundred three million, nine hundred ninety-three thousand, nine hundred fifty-two".