353140040 has 64 divisors (see below), whose sum is σ = 868734720. Its totient is φ = 128128000.

The previous prime is 353140019. The next prime is 353140063. The reversal of 353140040 is 40041353.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 353139994 and 353140021.

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 15 ways as a sum of consecutive naturals, for example, 387185 + ... + 388095.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^353140040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

353140040 is an abundant number, since it is smaller than the sum of its proper divisors (515594680).

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

353140040 is a wasteful number, since it uses less digits than its factorization.

353140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 353140040 is about 18792.0206470725. The cubic root of 353140040 is about 706.8311066631.

Adding to 353140040 its reverse (40041353), we get a palindrome (393181393).

The spelling of 353140040 in words is "three hundred fifty-three million, one hundred forty thousand, forty".