1002362398800 has 480 divisors, whose sum is σ = 3737194613760. Its totient is φ = 224902656000.

The previous prime is 1002362398787. The next prime is 1002362398819. The reversal of 1002362398800 is 88932632001.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 556557900 + ... + 556559700.

It is an arithmetic number, because the mean of its divisors is an integer number (7785822112).

Almost surely, 2^{1002362398800} is an apocalyptic number.

1002362398800 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 1002362398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868597306880).

1002362398800 is an abundant number, since it is smaller than the sum of its proper divisors (2734832214960).

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

1002362398800 is a wasteful number, since it uses less digits than its factorization.

1002362398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1002362398800 in words is "one trillion, two billion, three hundred sixty-two million, three hundred ninety-eight thousand, eight hundred".