431314040000 has 140 divisors (see below), whose sum is σ = 1071745687848. Its totient is φ = 172166400000.

The previous prime is 431314039973. The next prime is 431314040033. The reversal of 431314040000 is 40413134.

It is a happy number.

It is a super-2 number, since 2×431314040000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19629020 + ... + 19650980.

Almost surely, 2^431314040000 is an apocalyptic number.

431314040000 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 431314040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535872843924).

431314040000 is an abundant number, since it is smaller than the sum of its proper divisors (640431647848).

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

431314040000 is an equidigital number, since it uses as much as digits as its factorization.

431314040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22484 (or 22459 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 431314040000 its reverse (40413134), we get a palindrome (431354453134).

The spelling of 431314040000 in words is "four hundred thirty-one billion, three hundred fourteen million, forty thousand".