431632632612640 has 96 divisors (see below), whose sum is σ = 1025646559323120. Its totient is φ = 171651701243904.

The previous prime is 431632632612637. The next prime is 431632632612641. The reversal of 431632632612640 is 46216236236134.

It can be written as a sum of positive squares in 8 ways, for example, as 199186140142224 + 232446492470416 = 14113332^2 + 15246196^2 .

It is a super-2 number, since 2×431632632612640² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431632632612641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798221912 + ... + 1798461928.

Almost surely, 2^{431632632612640} is an apocalyptic number.

431632632612640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431632632612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512823279661560).

431632632612640 is an abundant number, since it is smaller than the sum of its proper divisors (594013926710480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431632632612640 is a wasteful number, since it uses less digits than its factorization.

431632632612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305174 (or 305166 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 49.

Adding to 431632632612640 its reverse (46216236236134), we get a palindrome (477848868848774).

The spelling of 431632632612640 in words is "four hundred thirty-one trillion, six hundred thirty-two billion, six hundred thirty-two million, six hundred twelve thousand, six hundred forty".