1009935433728 has 1080 divisors, whose sum is σ = 3492280646400. Its totient is φ = 290667626496.

The previous prime is 1009935433721. The next prime is 1009935433729. The reversal of 1009935433728 is 8273345399001.

1009935433728 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 93 + 543 + 3 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009935433721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12783992793 + ... + 12783992871.

Almost surely, 2^{1009935433728} is an apocalyptic number.

1009935433728 is a gapful number since it is divisible by the number (18) 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 1009935433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746140323200).

1009935433728 is an abundant number, since it is smaller than the sum of its proper divisors (2482345212672).

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

1009935433728 is an frugal number, since it uses more digits than its factorization.

1009935433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1009935433728 in words is "one trillion, nine billion, nine hundred thirty-five million, four hundred thirty-three thousand, seven hundred twenty-eight".