1002535440400 has 120 divisors (see below), whose sum is σ = 2683311772680. Its totient is φ = 357402501120.

The previous prime is 1002535440397. The next prime is 1002535440421. The reversal of 1002535440400 is 40445352001.

It can be written as a sum of positive squares in 12 ways, for example, as 782071385104 + 220464055296 = 884348^2 + 469536^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3173257 + ... + 3474856.

It is an arithmetic number, because the mean of its divisors is an integer number (22360931439).

Almost surely, 2^{1002535440400} is an apocalyptic number.

1002535440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002535440400 is an abundant number, since it is smaller than the sum of its proper divisors (1680776332280).

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

1002535440400 is a wasteful number, since it uses less digits than its factorization.

1002535440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648173 (or 6648162 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 1002535440400 in words is "one trillion, two billion, five hundred thirty-five million, four hundred forty thousand, four hundred".