1012042432401 has 384 divisors, whose sum is σ = 2051074400256. Its totient is φ = 427488399360.

The previous prime is 1012042432321. The next prime is 1012042432409. The reversal of 1012042432401 is 1042342402101.

It is not a de Polignac number, because 1012042432401 - 2⁷ = 1012042432273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012042432409) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 922554085 + ... + 922555181.

It is an arithmetic number, because the mean of its divisors is an integer number (5341339584).

Almost surely, 2^{1012042432401} is an apocalyptic number.

1012042432401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012042432401 is an abundant number, since it is smaller than the sum of its proper divisors (1039031967855).

1012042432401 is a wasteful number, since it uses less digits than its factorization.

1012042432401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1012042432401 its reverse (1042342402101), we get a palindrome (2054384834502).

The spelling of 1012042432401 in words is "one trillion, twelve billion, forty-two million, four hundred thirty-two thousand, four hundred one".