1431431221440 has 448 divisors, whose sum is σ = 5007040796160. Its totient is φ = 343596072960.

The previous prime is 1431431221361. The next prime is 1431431221453. The reversal of 1431431221440 is 441221341341.

It is a happy number.

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 = 1431431221398 and 1431431221407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466718787 + ... + 466721853.

Almost surely, 2^{1431431221440} is an apocalyptic number.

1431431221440 is a gapful number since it is divisible by the number (10) 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 1431431221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503520398080).

1431431221440 is an abundant number, since it is smaller than the sum of its proper divisors (3575609574720).

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

1431431221440 is a wasteful number, since it uses less digits than its factorization.

1431431221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1431431221440 its reverse (441221341341), we get a palindrome (1872652562781).

The spelling of 1431431221440 in words is "one trillion, four hundred thirty-one billion, four hundred thirty-one million, two hundred twenty-one thousand, four hundred forty".