6403040361 has 45 divisors (see below), whose sum is σ = 10180246791. Its totient is φ = 4009912128.

The previous prime is 6403040341. The next prime is 6403040383. The reversal of 6403040361 is 1630403046.

The square root of 6403040361 is 80019.

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., 4985066025 + 1417974336 = 70605^2 + 37656^2 .

It is not a de Polignac number, because 6403040361 - 2¹⁵ = 6403007593 is a prime.

It is a super-3 number, since 3×6403040361³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6403040321) 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, 12242646 + ... + 12243168.

Almost surely, 2^6403040361 is an apocalyptic number.

6403040361 is the 80019-th square number.

6403040361 is the 40010-th centered octagonal number.

It is an amenable number.

6403040361 is a deficient number, since it is larger than the sum of its proper divisors (3777206430).

6403040361 is an frugal number, since it uses more digits than its factorization.

6403040361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 6403040361 is about 1856.9294891029.

Multiplying 6403040361 by its product of nonzero digits (5184), we get a square (33193361231424 = 5761368²).

The spelling of 6403040361 in words is "six billion, four hundred three million, forty thousand, three hundred sixty-one".