997947161490240 has 2240 divisors, whose sum is σ = 3986487946248192. Its totient is φ = 235314350899200.

The previous prime is 997947161490239. The next prime is 997947161490241. The reversal of 997947161490240 is 42094161749799.

997947161490240 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 4 + 71 + 61 + 490 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (997947161490239) and next prime (997947161490241).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997947161490241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 444916254559 + ... + 444916256801.

Almost surely, 2^{997947161490240} is an apocalyptic number.

997947161490240 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 997947161490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993243973124096).

997947161490240 is an abundant number, since it is smaller than the sum of its proper divisors (2988540784757952).

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

997947161490240 is a wasteful number, since it uses less digits than its factorization.

997947161490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 997947161490240 in words is "nine hundred ninety-seven trillion, nine hundred forty-seven billion, one hundred sixty-one million, four hundred ninety thousand, two hundred forty".