1431621601344 has 448 divisors, whose sum is σ = 4761422714880. Its totient is φ = 417980528640.

The previous prime is 1431621601321. The next prime is 1431621601367. The reversal of 1431621601344 is 4431061261341.

1431621601344 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 6 + 2 + 1 + 601 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1431621601321) and next prime (1431621601367).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1431621601299 and 1431621601308.

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, 72429607 + ... + 72449369.

Almost surely, 2^{1431621601344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431621601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380711357440).

1431621601344 is an abundant number, since it is smaller than the sum of its proper divisors (3329801113536).

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

1431621601344 is a wasteful number, since it uses less digits than its factorization.

1431621601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19935 (or 19919 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1431621601344 its reverse (4431061261341), we get a palindrome (5862682862685).

The spelling of 1431621601344 in words is "one trillion, four hundred thirty-one billion, six hundred twenty-one million, six hundred one thousand, three hundred forty-four".