431400689721 has 135 divisors (see below), whose sum is σ = 715281033621. Its totient is φ = 259056767376.

The previous prime is 431400689653. The next prime is 431400689801. The reversal of 431400689721 is 127986004134.

The square root of 431400689721 is 656811.

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

It is not a de Polignac number, because 431400689721 - 2⁷ = 431400689593 is a prime.

It is a super-2 number, since 2×431400689721² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431400689221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2583237580 + ... + 2583237746.

Almost surely, 2^431400689721 is an apocalyptic number.

431400689721 is the 656811-st square number.

431400689721 is the 328406-th centered octagonal number.

It is an amenable number.

431400689721 is a deficient number, since it is larger than the sum of its proper divisors (283880343900).

431400689721 is an equidigital number, since it uses as much as digits as its factorization.

431400689721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 431400689721 in words is "four hundred thirty-one billion, four hundred million, six hundred eighty-nine thousand, seven hundred twenty-one".