1005409734732 has 432 divisors, whose sum is σ = 2981457198720. Its totient is φ = 284582937600.

The previous prime is 1005409734731. The next prime is 1005409734761. The reversal of 1005409734732 is 2374379045001.

1005409734732 is a `hidden beast` number, since 1 + 0 + 0 + 540 + 9 + 7 + 34 + 73 + 2 = 666.

It is a super-2 number, since 2×1005409734732² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005409734731) 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 143 ways as a sum of consecutive naturals, for example, 1455006507 + ... + 1455007197.

Almost surely, 2^{1005409734732} is an apocalyptic number.

1005409734732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005409734732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490728599360).

1005409734732 is an abundant number, since it is smaller than the sum of its proper divisors (1976047463988).

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

1005409734732 is a wasteful number, since it uses less digits than its factorization.

1005409734732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1005409734732 in words is "one trillion, five billion, four hundred nine million, seven hundred thirty-four thousand, seven hundred thirty-two".