1042638135 has 64 divisors (see below), whose sum is σ = 2202246144. Its totient is φ = 407808000.

The previous prime is 1042638109. The next prime is 1042638151. The reversal of 1042638135 is 5318362401.

It is not a de Polignac number, because 1042638135 - 2⁹ = 1042637623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1042638096 and 1042638105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6916 + ... + 46185.

It is an arithmetic number, because the mean of its divisors is an integer number (34410096).

Almost surely, 2^1042638135 is an apocalyptic number.

1042638135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1042638135 is an abundant number, since it is smaller than the sum of its proper divisors (1159608009).

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

1042638135 is a wasteful number, since it uses less digits than its factorization.

1042638135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53144.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1042638135 is about 32289.9076338103. The cubic root of 1042638135 is about 1014.0153635695.

The spelling of 1042638135 in words is "one billion, forty-two million, six hundred thirty-eight thousand, one hundred thirty-five".