431141780160 has 2688 divisors, whose sum is σ = 2081028096000. Its totient is φ = 83398533120.

The previous prime is 431141780149. The next prime is 431141780189. The reversal of 431141780160 is 61087141134.

431141780160 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 417 + 80 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13907799345 + ... + 13907799375.

It is an arithmetic number, because the mean of its divisors is an integer number (774192000).

Almost surely, 2^431141780160 is an apocalyptic number.

431141780160 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 431141780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040514048000).

431141780160 is an abundant number, since it is smaller than the sum of its proper divisors (1649886315840).

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

431141780160 is a wasteful number, since it uses less digits than its factorization.

431141780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 431141780160 in words is "four hundred thirty-one billion, one hundred forty-one million, seven hundred eighty thousand, one hundred sixty".