1005413440152 has 32 divisors (see below), whose sum is σ = 2742036655680. Its totient is φ = 304670739360.

The previous prime is 1005413440117. The next prime is 1005413440307. The reversal of 1005413440152 is 2510443145001.

It is a super-3 number, since 3×1005413440152³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1904191858 + ... + 1904192385.

It is an arithmetic number, because the mean of its divisors is an integer number (85688645490).

Almost surely, 2^{1005413440152} is an apocalyptic number.

1005413440152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005413440152 is an abundant number, since it is smaller than the sum of its proper divisors (1736623215528).

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

1005413440152 is a wasteful number, since it uses less digits than its factorization.

1005413440152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808384263 (or 3808384259 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1005413440152 its reverse (2510443145001), we get a palindrome (3515856585153).

The spelling of 1005413440152 in words is "one trillion, five billion, four hundred thirteen million, four hundred forty thousand, one hundred fifty-two".