4020144320430 has 128 divisors (see below), whose sum is σ = 12266476185600. Its totient is φ = 917794547712.

The previous prime is 4020144320419. The next prime is 4020144320483. The reversal of 4020144320430 is 340234410204.

It is a happy number.

4020144320430 is a `hidden beast` number, since 4 + 0 + 201 + 4 + 4 + 3 + 20 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4020144320394 and 4020144320403.

It is a congruent number.

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, 318094 + ... + 2853326.

It is an arithmetic number, because the mean of its divisors is an integer number (95831845200).

Almost surely, 2^{4020144320430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020144320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133238092800).

4020144320430 is an abundant number, since it is smaller than the sum of its proper divisors (8246331865170).

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

4020144320430 is a wasteful number, since it uses less digits than its factorization.

4020144320430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536095 (or 2536089 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4020144320430 its reverse (340234410204), we get a palindrome (4360378730634).

The spelling of 4020144320430 in words is "four trillion, twenty billion, one hundred forty-four million, three hundred twenty thousand, four hundred thirty".