1401344430431 has 64 divisors (see below), whose sum is σ = 1631183184000. Its totient is φ = 1192117248000.

The previous prime is 1401344430413. The next prime is 1401344430439. The reversal of 1401344430431 is 1340344431041.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1401344430431 is a prime.

It is a super-2 number, since 2×1401344430431² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401344430439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322220045 + ... + 322224393.

It is an arithmetic number, because the mean of its divisors is an integer number (25487237250).

Almost surely, 2^{1401344430431} is an apocalyptic number.

1401344430431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1401344430431 is a deficient number, since it is larger than the sum of its proper divisors (229838753569).

1401344430431 is a wasteful number, since it uses less digits than its factorization.

1401344430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1401344430431 its reverse (1340344431041), we get a palindrome (2741688861472).

It can be divided in two parts, 14013 and 44430431, that added together give a palindrome (44444444).

The spelling of 1401344430431 in words is "one trillion, four hundred one billion, three hundred forty-four million, four hundred thirty thousand, four hundred thirty-one".