4460420460420 has 36 divisors (see below), whose sum is σ = 13529942063820. Its totient is φ = 1189445456064.

The previous prime is 4460420460413. The next prime is 4460420460437. The reversal of 4460420460420 is 240640240644.

4460420460420 is a `hidden beast` number, since 4 + 4 + 6 + 0 + 4 + 20 + 4 + 604 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3392323014276 + 1068097446144 = 1841826^2 + 1033488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12390056655 + ... + 12390057014.

It is an arithmetic number, because the mean of its divisors is an integer number (375831723995).

Almost surely, 2^{4460420460420} is an apocalyptic number.

It is an amenable number.

4460420460420 is an abundant number, since it is smaller than the sum of its proper divisors (9069521603400).

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

4460420460420 is a wasteful number, since it uses less digits than its factorization.

4460420460420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24780113684 (or 24780113679 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4460420460420 in words is "four trillion, four hundred sixty billion, four hundred twenty million, four hundred sixty thousand, four hundred twenty".