997141708800 has 408 divisors, whose sum is σ = 3663707077680. Its totient is φ = 265892659200.

The previous prime is 997141708789. The next prime is 997141708847. The reversal of 997141708800 is 8807141799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44225530 + ... + 44248070.

It is an arithmetic number, because the mean of its divisors is an integer number (8979674210).

Almost surely, 2^997141708800 is an apocalyptic number.

997141708800 is a gapful number since it is divisible by the number (90) 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 997141708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831853538840).

997141708800 is an abundant number, since it is smaller than the sum of its proper divisors (2666565368880).

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

997141708800 is an equidigital number, since it uses as much as digits as its factorization.

997141708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22592 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 997141708800 in words is "nine hundred ninety-seven billion, one hundred forty-one million, seven hundred eight thousand, eight hundred".