353315471040 has 336 divisors, whose sum is σ = 1408433495040. Its totient is φ = 79620065280.

The previous prime is 353315471021. The next prime is 353315471057. The reversal of 353315471040 is 40174513353.

353315471040 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 1 + 547 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 353315470986 and 353315471004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307941 + ... + 1554779.

Almost surely, 2^353315471040 is an apocalyptic number.

353315471040 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 353315471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704216747520).

353315471040 is an abundant number, since it is smaller than the sum of its proper divisors (1055118024000).

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

353315471040 is a wasteful number, since it uses less digits than its factorization.

353315471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246940 (or 246927 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 353315471040 its reverse (40174513353), we get a palindrome (393489984393).

The spelling of 353315471040 in words is "three hundred fifty-three billion, three hundred fifteen million, four hundred seventy-one thousand, forty".