431414221440 has 256 divisors, whose sum is σ = 1396185465600. Its totient is φ = 113286512640.

The previous prime is 431414221429. The next prime is 431414221457. The reversal of 431414221440 is 44122414134.

It is a happy number.

It is a super-2 number, since 2×431414221440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 431414221398 and 431414221407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165354856 + ... + 165357464.

It is an arithmetic number, because the mean of its divisors is an integer number (5453849475).

Almost surely, 2^431414221440 is an apocalyptic number.

431414221440 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 431414221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698092732800).

431414221440 is an abundant number, since it is smaller than the sum of its proper divisors (964771244160).

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

431414221440 is a wasteful number, since it uses less digits than its factorization.

431414221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 431414221440 its reverse (44122414134), we get a palindrome (475536635574).

The spelling of 431414221440 in words is "four hundred thirty-one billion, four hundred fourteen million, two hundred twenty-one thousand, four hundred forty".