4106456720 has 40 divisors (see below), whose sum is σ = 9554596800. Its totient is φ = 1641363840.

The previous prime is 4106456701. The next prime is 4106456723. The reversal of 4106456720 is 276546014.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4106456723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93575 + ... + 130265.

It is an arithmetic number, because the mean of its divisors is an integer number (238864920).

Almost surely, 2^4106456720 is an apocalyptic number.

4106456720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4106456720 is an abundant number, since it is smaller than the sum of its proper divisors (5448140080).

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

4106456720 is a wasteful number, since it uses less digits than its factorization.

4106456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38103 (or 38097 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 4106456720 is about 64081.6410526447. The cubic root of 4106456720 is about 1601.3603950838.

The spelling of 4106456720 in words is "four billion, one hundred six million, four hundred fifty-six thousand, seven hundred twenty".