4456910640 has 240 divisors, whose sum is σ = 17309079648. Its totient is φ = 940326912.

The previous prime is 4456910611. The next prime is 4456910657. The reversal of 4456910640 is 460196544.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138304 + ... + 167456.

Almost surely, 2^4456910640 is an apocalyptic number.

4456910640 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 4456910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654539824).

4456910640 is an abundant number, since it is smaller than the sum of its proper divisors (12852169008).

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

4456910640 is a wasteful number, since it uses less digits than its factorization.

4456910640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29196 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4456910640 is about 66760.0976632000. The cubic root of 4456910640 is about 1645.6771619816.

The spelling of 4456910640 in words is "four billion, four hundred fifty-six million, nine hundred ten thousand, six hundred forty".