4530420771840 has 616 divisors, whose sum is σ = 17252815255200. Its totient is φ = 1137030856704.

The previous prime is 4530420771829. The next prime is 4530420771869. The reversal of 4530420771840 is 481770240354.

4530420771840 is a `hidden beast` number, since 4 + 530 + 4 + 2 + 0 + 7 + 71 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63416461 + ... + 63487859.

Almost surely, 2^{4530420771840} is an apocalyptic number.

4530420771840 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 4530420771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626407627600).

4530420771840 is an abundant number, since it is smaller than the sum of its proper divisors (12722394483360).

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

4530420771840 is an equidigital number, since it uses as much as digits as its factorization.

4530420771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71459 (or 71426 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4530420771840 in words is "four trillion, five hundred thirty billion, four hundred twenty million, seven hundred seventy-one thousand, eight hundred forty".