1642401135 has 96 divisors (see below), whose sum is σ = 3195279360. Its totient is φ = 776438784.

The previous prime is 1642401119. The next prime is 1642401139. The reversal of 1642401135 is 5311042461.

It is a happy number.

1642401135 is a `hidden beast` number, since 1 + 642 + 4 + 0 + 1 + 13 + 5 = 666.

It is not a de Polignac number, because 1642401135 - 2⁴ = 1642401119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1642401099 and 1642401108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642401139) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 923367 + ... + 925143.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 2^1642401135 is an apocalyptic number.

1642401135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1642401135 is a deficient number, since it is larger than the sum of its proper divisors (1552878225).

1642401135 is a wasteful number, since it uses less digits than its factorization.

1642401135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1642401135 is about 40526.5485206920. The cubic root of 1642401135 is about 1179.8489548596.

Adding to 1642401135 its reverse (5311042461), we get a palindrome (6953443596).

The spelling of 1642401135 in words is "one billion, six hundred forty-two million, four hundred one thousand, one hundred thirty-five".