353943409609440 has 1536 divisors, whose sum is σ = 1543239342489600. Its totient is φ = 73935860244480.

The previous prime is 353943409609429. The next prime is 353943409609441. The reversal of 353943409609440 is 44906904349353.

353943409609440 is a `hidden beast` number, since 3 + 5 + 3 + 9 + 43 + 409 + 60 + 94 + 40 = 666.

It is a super-2 number, since 2×353943409609440² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353943409609441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5646169777 + ... + 5646232463.

It is an arithmetic number, because the mean of its divisors is an integer number (1004713113600).

Almost surely, 2^{353943409609440} is an apocalyptic number.

353943409609440 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 353943409609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771619671244800).

353943409609440 is an abundant number, since it is smaller than the sum of its proper divisors (1189295932880160).

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

353943409609440 is a wasteful number, since it uses less digits than its factorization.

353943409609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63085 (or 63071 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 353943409609440 in words is "three hundred fifty-three trillion, nine hundred forty-three billion, four hundred nine million, six hundred nine thousand, four hundred forty".