1002385238400 has 2160 divisors, whose sum is σ = 4669378110540. Its totient is φ = 211039395840.

The previous prime is 1002385238363. The next prime is 1002385238411. The reversal of 1002385238400 is 48325832001.

1002385238400 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 385 + 238 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 269 ways as a sum of consecutive naturals, for example, 2146434967 + ... + 2146435433.

Almost surely, 2^{1002385238400} is an apocalyptic number.

1002385238400 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 1002385238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334689055270).

1002385238400 is an abundant number, since it is smaller than the sum of its proper divisors (3666992872140).

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

1002385238400 is a wasteful number, since it uses less digits than its factorization.

1002385238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1002385238400 in words is "one trillion, two billion, three hundred eighty-five million, two hundred thirty-eight thousand, four hundred".