1002393733740 has 192 divisors, whose sum is σ = 3283212033024. Its totient is φ = 223725100032.

The previous prime is 1002393733711. The next prime is 1002393733741. The reversal of 1002393733740 is 473373932001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1002393733692 and 1002393733701.

It is not an unprimeable number, because it can be changed into a prime (1002393733741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89517822 + ... + 89529018.

It is an arithmetic number, because the mean of its divisors is an integer number (17100062672).

Almost surely, 2^{1002393733740} is an apocalyptic number.

1002393733740 is a gapful number since it is divisible by the number (10) 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 1002393733740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641606016512).

1002393733740 is an abundant number, since it is smaller than the sum of its proper divisors (2280818299284).

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

1002393733740 is a wasteful number, since it uses less digits than its factorization.

1002393733740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16216 (or 16214 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 42.

The spelling of 1002393733740 in words is "one trillion, two billion, three hundred ninety-three million, seven hundred thirty-three thousand, seven hundred forty".