4455940680 has 256 divisors, whose sum is σ = 15378854400. Its totient is φ = 1146839040.

The previous prime is 4455940663. The next prime is 4455940711. The reversal of 4455940680 is 860495544.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4560352 + ... + 4561328.

It is an arithmetic number, because the mean of its divisors is an integer number (60073650).

Almost surely, 2^4455940680 is an apocalyptic number.

4455940680 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 4455940680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689427200).

4455940680 is an abundant number, since it is smaller than the sum of its proper divisors (10922913720).

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

4455940680 is a wasteful number, since it uses less digits than its factorization.

4455940680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4455940680 is about 66752.8327488804. The cubic root of 4455940680 is about 1645.5577701008.

The spelling of 4455940680 in words is "four billion, four hundred fifty-five million, nine hundred forty thousand, six hundred eighty".