353564497440 has 1728 divisors, whose sum is σ = 1622642740992. Its totient is φ = 68647772160.

The previous prime is 353564497427. The next prime is 353564497441. The reversal of 353564497440 is 44794465353.

353564497440 is a `hidden beast` number, since 3 + 5 + 3 + 564 + 4 + 9 + 74 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (353564497441) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 4843349244 + ... + 4843349316.

It is an arithmetic number, because the mean of its divisors is an integer number (939029364).

Almost surely, 2^353564497440 is an apocalyptic number.

353564497440 is a gapful number since it is divisible by the number (30) 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 353564497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811321370496).

353564497440 is an abundant number, since it is smaller than the sum of its proper divisors (1269078243552).

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

353564497440 is a wasteful number, since it uses less digits than its factorization.

353564497440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 353564497440 in words is "three hundred fifty-three billion, five hundred sixty-four million, four hundred ninety-seven thousand, four hundred forty".