431225152640436 has 192 divisors, whose sum is σ = 1256806570328064. Its totient is φ = 111798327945600.

The previous prime is 431225152640417. The next prime is 431225152640461. The reversal of 431225152640436 is 634046251522134.

It is a super-3 number, since 3×431225152640436³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1562232345 + ... + 1562508351.

It is an arithmetic number, because the mean of its divisors is an integer number (6545867553792).

Almost surely, 2^{431225152640436} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431225152640436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628403285164032).

431225152640436 is an abundant number, since it is smaller than the sum of its proper divisors (825581417687628).

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

431225152640436 is a wasteful number, since it uses less digits than its factorization.

431225152640436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279170 (or 279168 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 431225152640436 in words is "four hundred thirty-one trillion, two hundred twenty-five billion, one hundred fifty-two million, six hundred forty thousand, four hundred thirty-six".