197010253440 has 1536 divisors, whose sum is σ = 934128599040. Its totient is φ = 36933304320.

The previous prime is 197010253367. The next prime is 197010253591. The reversal of 197010253440 is 44352010791.

197010253440 is a `hidden beast` number, since 1 + 9 + 70 + 10 + 2 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197010253395 and 197010253404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270990357 + ... + 270991083.

It is an arithmetic number, because the mean of its divisors is an integer number (608156640).

Almost surely, 2^197010253440 is an apocalyptic number.

197010253440 is a gapful number since it is divisible by the number (10) 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 197010253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467064299520).

197010253440 is an abundant number, since it is smaller than the sum of its proper divisors (737118345600).

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

197010253440 is a wasteful number, since it uses less digits than its factorization.

197010253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 197010253440 in words is "one hundred ninety-seven billion, ten million, two hundred fifty-three thousand, four hundred forty".