1002337358240 has 96 divisors (see below), whose sum is σ = 2435932154880. Its totient is φ = 389518796800.

The previous prime is 1002337358221. The next prime is 1002337358261. The reversal of 1002337358240 is 428537332001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002337358194 and 1002337358203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248185 + ... + 1887495.

It is an arithmetic number, because the mean of its divisors is an integer number (25374293280).

Almost surely, 2^{1002337358240} is an apocalyptic number.

1002337358240 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 1002337358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217966077440).

1002337358240 is an abundant number, since it is smaller than the sum of its proper divisors (1433594796640).

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

1002337358240 is a wasteful number, since it uses less digits than its factorization.

1002337358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639606 (or 639598 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 1002337358240 in words is "one trillion, two billion, three hundred thirty-seven million, three hundred fifty-eight thousand, two hundred forty".