4254413640129 has 9 divisors (see below), whose sum is σ = 6145273084899. Its totient is φ = 2836271634840.

The previous prime is 4254413639969. The next prime is 4254413640137. The reversal of 4254413640129 is 9210463144524.

The square root of 4254413640129 is 2062623.

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

4254413640129 is a `hidden beast` number, since 4 + 2 + 54 + 413 + 64 + 0 + 129 = 666.

4254413640129 is digitally balanced in base 2, 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., 1818379431729 + 2436034208400 = 1348473^2 + 1560780^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4254413640129 - 2³⁵ = 4220053901761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4254413640179) 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, 5844099 + ... + 6531639.

Almost surely, 2^{4254413640129} is an apocalyptic number.

4254413640129 is the 2062623-rd square number.

4254413640129 is the 1031312-nd centered octagonal number.

It is an amenable number.

4254413640129 is a deficient number, since it is larger than the sum of its proper divisors (1890859444770).

4254413640129 is an frugal number, since it uses more digits than its factorization.

4254413640129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375088 (or 687544 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4254413640129 in words is "four trillion, two hundred fifty-four billion, four hundred thirteen million, six hundred forty thousand, one hundred twenty-nine".