4780201321 has 45 divisors (see below), whose sum is σ = 5996131511. Its totient is φ = 3809835456.

The previous prime is 4780201319. The next prime is 4780201337. The reversal of 4780201321 is 1231020874.

The square root of 4780201321 is 69139.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3721610025 + 1058591296 = 61005^2 + 32536^2 .

It is not a de Polignac number, because 4780201321 - 2¹ = 4780201319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4780201321.

It is not an unprimeable number, because it can be changed into a prime (4780201351) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57592746 + ... + 57592828.

Almost surely, 2^4780201321 is an apocalyptic number.

4780201321 is the 69139-th square number.

4780201321 is the 34570-th centered octagonal number.

It is an amenable number.

4780201321 is a deficient number, since it is larger than the sum of its proper divisors (1215930190).

4780201321 is an frugal number, since it uses more digits than its factorization.

4780201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 4780201321 is about 1684.5428493888.

The spelling of 4780201321 in words is "four billion, seven hundred eighty million, two hundred one thousand, three hundred twenty-one".