4460337026401 has 9 divisors (see below), whose sum is σ = 4571867872659. Its totient is φ = 4351463840400.

The previous prime is 4460337026399. The next prime is 4460337026417. The reversal of 4460337026401 is 1046207330644.

It is a happy number.

The square root of 4460337026401 is 2111951.

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

4460337026401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 214924032801 + 4245412993600 = 463599^2 + 2060440^2 .

It is not a de Polignac number, because 4460337026401 - 2¹ = 4460337026399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4460337026461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86564236 + ... + 86615746.

Almost surely, 2^{4460337026401} is an apocalyptic number.

4460337026401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4460337026401 is the 2111951-st square number.

4460337026401 is the 1055976-th centered octagonal number.

It is an amenable number.

4460337026401 is a deficient number, since it is larger than the sum of its proper divisors (111530846258).

4460337026401 is an frugal number, since it uses more digits than its factorization.

4460337026401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103104 (or 51552 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 4460337026401 in words is "four trillion, four hundred sixty billion, three hundred thirty-seven million, twenty-six thousand, four hundred one".