434361401721 has 135 divisors (see below), whose sum is σ = 724865475807. Its totient is φ = 259090060320.

The previous prime is 434361401707. The next prime is 434361401777. The reversal of 434361401721 is 127104163434.

The square root of 434361401721 is 659061.

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

434361401721 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 614 + 0 + 17 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64254645225 + 370106756496 = 253485^2 + 608364^2 .

It is not a de Polignac number, because 434361401721 - 2¹⁷ = 434361270649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434361401921) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3315735826 + ... + 3315735956.

Almost surely, 2^434361401721 is an apocalyptic number.

434361401721 is the 659061-st square number.

434361401721 is the 329531-st centered octagonal number.

It is an amenable number.

434361401721 is a deficient number, since it is larger than the sum of its proper divisors (290504074086).

434361401721 is an equidigital number, since it uses as much as digits as its factorization.

434361401721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 434361401721 by its sum of digits (36), we get a square (15637010461956 = 3954366²).

The spelling of 434361401721 in words is "four hundred thirty-four billion, three hundred sixty-one million, four hundred one thousand, seven hundred twenty-one".