196529509440 has 840 divisors, whose sum is σ = 797855623488. Its totient is φ = 45537085440.

The previous prime is 196529509433. The next prime is 196529509469. The reversal of 196529509440 is 44905925691.

196529509440 is a `hidden beast` number, since 1 + 96 + 5 + 2 + 9 + 509 + 4 + 40 = 666.

It is a super-2 number, since 2×196529509440² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 150827829 + ... + 150829131.

Almost surely, 2^196529509440 is an apocalyptic number.

196529509440 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 196529509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398927811744).

196529509440 is an abundant number, since it is smaller than the sum of its proper divisors (601326114048).

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

196529509440 is a wasteful number, since it uses less digits than its factorization.

196529509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 196529509440 in words is "one hundred ninety-six billion, five hundred twenty-nine million, five hundred nine thousand, four hundred forty".