431200343440 has 160 divisors (see below), whose sum is σ = 1047094945920. Its totient is φ = 164936798208.

The previous prime is 431200343417. The next prime is 431200343449. The reversal of 431200343440 is 44343002134.

It is a junction number, because it is equal to n+sod(n) for n = 431200343399 and 431200343408.

It is not an unprimeable number, because it can be changed into a prime (431200343449) 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, 118362259 + ... + 118365901.

It is an arithmetic number, because the mean of its divisors is an integer number (6544343412).

Almost surely, 2^431200343440 is an apocalyptic number.

431200343440 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 431200343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523547472960).

431200343440 is an abundant number, since it is smaller than the sum of its proper divisors (615894602480).

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

431200343440 is a wasteful number, since it uses less digits than its factorization.

431200343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 431200343440 its reverse (44343002134), we get a palindrome (475543345574).

The spelling of 431200343440 in words is "four hundred thirty-one billion, two hundred million, three hundred forty-three thousand, four hundred forty".