1002774341440 has 56 divisors (see below), whose sum is σ = 2387941728552. Its totient is φ = 401095403520.

The previous prime is 1002774341417. The next prime is 1002774341441. The reversal of 1002774341440 is 441434772001.

It can be written as a sum of positive squares in 4 ways, for example, as 54113925376 + 948660416064 = 232624^2 + 973992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1002774341440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002774341441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17552602 + ... + 17609638.

Almost surely, 2^{1002774341440} is an apocalyptic number.

1002774341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002774341440 is an abundant number, since it is smaller than the sum of its proper divisors (1385167387112).

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

1002774341440 is an equidigital number, since it uses as much as digits as its factorization.

1002774341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111995 (or 111985 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 1002774341440 in words is "one trillion, two billion, seven hundred seventy-four million, three hundred forty-one thousand, four hundred forty".