202097404984000 has 224 divisors, whose sum is σ = 505485858923136. Its totient is φ = 80033133772800.

The previous prime is 202097404983979. The next prime is 202097404984003. The reversal of 202097404984000 is 489404790202.

It is a happy number.

It is a super-2 number, since 2×202097404984000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202097404984003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3356121892 + ... + 3356182108.

It is an arithmetic number, because the mean of its divisors is an integer number (2256633298764).

Almost surely, 2^{202097404984000} is an apocalyptic number.

202097404984000 is a gapful number since it is divisible by the number (20) 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 202097404984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252742929461568).

202097404984000 is an abundant number, since it is smaller than the sum of its proper divisors (303388453939136).

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

202097404984000 is a wasteful number, since it uses less digits than its factorization.

202097404984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64420 (or 64400 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 202097404984000 in words is "two hundred two trillion, ninety-seven billion, four hundred four million, nine hundred eighty-four thousand".