431538661840 has 160 divisors (see below), whose sum is σ = 1179124531200. Its totient is φ = 144804188160.

The previous prime is 431538661823. The next prime is 431538661847. The reversal of 431538661840 is 48166835134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431538661847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58557676 + ... + 58565044.

It is an arithmetic number, because the mean of its divisors is an integer number (7369528320).

Almost surely, 2^431538661840 is an apocalyptic number.

431538661840 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 431538661840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589562265600).

431538661840 is an abundant number, since it is smaller than the sum of its proper divisors (747585869360).

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

431538661840 is a wasteful number, since it uses less digits than its factorization.

431538661840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 431538661840 in words is "four hundred thirty-one billion, five hundred thirty-eight million, six hundred sixty-one thousand, eight hundred forty".