4104771440 has 160 divisors (see below), whose sum is σ = 11930664960. Its totient is φ = 1275955200.

The previous prime is 4104771439. The next prime is 4104771479. The reversal of 4104771440 is 441774014.

It is a junction number, because it is equal to n+sod(n) for n = 4104771397 and 4104771406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3208721 + ... + 3209999.

It is an arithmetic number, because the mean of its divisors is an integer number (74566656).

Almost surely, 2^4104771440 is an apocalyptic number.

4104771440 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 4104771440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965332480).

4104771440 is an abundant number, since it is smaller than the sum of its proper divisors (7825893520).

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

4104771440 is a wasteful number, since it uses less digits than its factorization.

4104771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 4104771440 is about 64068.4902272560. The cubic root of 4104771440 is about 1601.1413002858.

The spelling of 4104771440 in words is "four billion, one hundred four million, seven hundred seventy-one thousand, four hundred forty".