431018864640 has 936 divisors, whose sum is σ = 1872134697888. Its totient is φ = 90915471360.

The previous prime is 431018864629. The next prime is 431018864641. The reversal of 431018864640 is 46468810134.

431018864640 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 188 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431018864641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117410005 + ... + 117413675.

It is an arithmetic number, because the mean of its divisors is an integer number (2000143908).

Almost surely, 2^431018864640 is an apocalyptic number.

431018864640 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 431018864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936067348944).

431018864640 is an abundant number, since it is smaller than the sum of its proper divisors (1441115833248).

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

431018864640 is a wasteful number, since it uses less digits than its factorization.

431018864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 431018864640 in words is "four hundred thirty-one billion, eighteen million, eight hundred sixty-four thousand, six hundred forty".