1005140514004 has 48 divisors (see below), whose sum is σ = 2020018936320. Its totient is φ = 432810056160.

The previous prime is 1005140513989. The next prime is 1005140514101. The reversal of 1005140514004 is 4004150415001.

It is a super-2 number, since 2×1005140514004² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005140514004.

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 15 ways as a sum of consecutive naturals, for example, 23241769 + ... + 23284975.

It is an arithmetic number, because the mean of its divisors is an integer number (42083727840).

Almost surely, 2^{1005140514004} is an apocalyptic number.

It is an amenable number.

1005140514004 is an abundant number, since it is smaller than the sum of its proper divisors (1014878422316).

1005140514004 is a wasteful number, since it uses less digits than its factorization.

1005140514004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71068 (or 71066 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 1005140514004 its reverse (4004150415001), we get a palindrome (5009290929005).

The spelling of 1005140514004 in words is "one trillion, five billion, one hundred forty million, five hundred fourteen thousand, four".