1002409795200 has 384 divisors, whose sum is σ = 3639010213440. Its totient is φ = 240500736000.

The previous prime is 1002409795171. The next prime is 1002409795237. The reversal of 1002409795200 is 25979042001.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10194270 + ... + 10292130.

Almost surely, 2^{1002409795200} is an apocalyptic number.

1002409795200 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 1002409795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819505106720).

1002409795200 is an abundant number, since it is smaller than the sum of its proper divisors (2636600418240).

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

1002409795200 is a wasteful number, since it uses less digits than its factorization.

1002409795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97996 (or 97979 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 1002409795200 in words is "one trillion, two billion, four hundred nine million, seven hundred ninety-five thousand, two hundred".