431130366663120 has 240 divisors, whose sum is σ = 1466196192294912. Its totient is φ = 113522249917440.

The previous prime is 431130366663067. The next prime is 431130366663151. The reversal of 431130366663120 is 21366663031134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×431130366663120³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8121094 + ... + 30466586.

Almost surely, 2^{431130366663120} is an apocalyptic number.

431130366663120 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 431130366663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733098096147456).

431130366663120 is an abundant number, since it is smaller than the sum of its proper divisors (1035065825631792).

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

431130366663120 is a wasteful number, since it uses less digits than its factorization.

431130366663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22345850 (or 22345841 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 431130366663120 in words is "four hundred thirty-one trillion, one hundred thirty billion, three hundred sixty-six million, six hundred sixty-three thousand, one hundred twenty".