997622140838400 has 5760 divisors, whose sum is σ = 4791198919643136. Its totient is φ = 199554505113600.

The previous prime is 997622140838399. The next prime is 997622140838447. The reversal of 997622140838400 is 4838041226799.

997622140838400 is a `hidden beast` number, since 9 + 9 + 7 + 6 + 2 + 2 + 140 + 83 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 912737548254 + ... + 912737549346.

Almost surely, 2^{997622140838400} is an apocalyptic number.

997622140838400 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 997622140838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395599459821568).

997622140838400 is an abundant number, since it is smaller than the sum of its proper divisors (3793576778804736).

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

997622140838400 is a wasteful number, since it uses less digits than its factorization.

997622140838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 997622140838400 in words is "nine hundred ninety-seven trillion, six hundred twenty-two billion, one hundred forty million, eight hundred thirty-eight thousand, four hundred".