1005467552340 has 96 divisors (see below), whose sum is σ = 2963694357120. Its totient is φ = 253994766336.

The previous prime is 1005467552311. The next prime is 1005467552347. The reversal of 1005467552340 is 432557645001.

It is a junction number, because it is equal to n+sod(n) for n = 1005467552292 and 1005467552301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005467552347) 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 31 ways as a sum of consecutive naturals, for example, 24139212 + ... + 24180828.

It is an arithmetic number, because the mean of its divisors is an integer number (30871816220).

Almost surely, 2^{1005467552340} is an apocalyptic number.

1005467552340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005467552340 is an abundant number, since it is smaller than the sum of its proper divisors (1958226804780).

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

1005467552340 is a wasteful number, since it uses less digits than its factorization.

1005467552340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62841 (or 62839 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 1005467552340 in words is "one trillion, five billion, four hundred sixty-seven million, five hundred fifty-two thousand, three hundred forty".