431725658070480 has 320 divisors, whose sum is σ = 1377266305314816. Its totient is φ = 111805917696000.

The previous prime is 431725658070449. The next prime is 431725658070529. The reversal of 431725658070480 is 84070856527134.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2107202445 + ... + 2107407315.

Almost surely, 2^{431725658070480} is an apocalyptic number.

431725658070480 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 431725658070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688633152657408).

431725658070480 is an abundant number, since it is smaller than the sum of its proper divisors (945540647244336).

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

431725658070480 is a wasteful number, since it uses less digits than its factorization.

431725658070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205906 (or 205900 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 431725658070480 in words is "four hundred thirty-one trillion, seven hundred twenty-five billion, six hundred fifty-eight million, seventy thousand, four hundred eighty".