4920415676401 has 3 divisors (see below), whose sum is σ = 4920417894603. Its totient is φ = 4920413458200.

The previous prime is 4920415676377. The next prime is 4920415676459. The reversal of 4920415676401 is 1046765140294.

The square root of 4920415676401 is 2218201.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 97999676401 + 4822416000000 = 313049^2 + 2196000^2 .

It is not a de Polignac number, because 4920415676401 - 2²⁵ = 4920382121969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4920415676801) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1109101 + ... + 3327301.

It is an arithmetic number, because the mean of its divisors is an integer number (1640139298201).

Almost surely, 2^{4920415676401} is an apocalyptic number.

4920415676401 is the 2218201-st square number.

4920415676401 is the 1109101-st centered octagonal number.

It is an amenable number.

4920415676401 is a deficient number, since it is larger than the sum of its proper divisors (2218202).

4920415676401 is an frugal number, since it uses more digits than its factorization.

4920415676401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436402 (or 2218201 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 4920415676401 by its sum of digits (49), we get a square (241100368143649 = 15527407²).

The spelling of 4920415676401 in words is "four trillion, nine hundred twenty billion, four hundred fifteen million, six hundred seventy-six thousand, four hundred one".