997464161030400 has 3240 divisors, whose sum is σ = 4463270069698440. Its totient is φ = 218884571136000.

The previous prime is 997464161030387. The next prime is 997464161030419. The reversal of 997464161030400 is 4030161464799.

997464161030400 is a `hidden beast` number, since 9 + 9 + 7 + 46 + 4 + 161 + 0 + 30 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 370980882026496 + 626483279003904 = 19260864^2 + 25029648^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 133332994660 + ... + 133333002140.

Almost surely, 2^{997464161030400} is an apocalyptic number.

997464161030400 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 997464161030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231635034849220).

997464161030400 is an abundant number, since it is smaller than the sum of its proper divisors (3465805908668040).

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

997464161030400 is a wasteful number, since it uses less digits than its factorization.

997464161030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 997464161030400 in words is "nine hundred ninety-seven trillion, four hundred sixty-four billion, one hundred sixty-one million, thirty thousand, four hundred".