42431214014001 has 20 divisors (see below), whose sum is σ = 63966412803700. Its totient is φ = 28027957874976.

The previous prime is 42431214013987. The next prime is 42431214014069. The reversal of 42431214014001 is 10041041213424.

42431214014001 is a `hidden beast` number, since 4 + 2 + 43 + 1 + 214 + 0 + 1 + 400 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13027219736976 + 29403994277025 = 3609324^2 + 5422545^2 .

It is not a de Polignac number, because 42431214014001 - 2⁷ = 42431214013873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42431214012001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2402936806 + ... + 2402954463.

It is an arithmetic number, because the mean of its divisors is an integer number (3198320640185).

Almost surely, 2^{42431214014001} is an apocalyptic number.

It is an amenable number.

42431214014001 is a deficient number, since it is larger than the sum of its proper divisors (21535198789699).

42431214014001 is a wasteful number, since it uses less digits than its factorization.

42431214014001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805891390 (or 4805891381 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42431214014001 its reverse (10041041213424), we get a palindrome (52472255227425).

The spelling of 42431214014001 in words is "forty-two trillion, four hundred thirty-one billion, two hundred fourteen million, fourteen thousand, one".