353112321240 has 512 divisors, whose sum is σ = 1422489600000. Its totient is φ = 76200652800.

The previous prime is 353112321193. The next prime is 353112321257. The reversal of 353112321240 is 42123211353.

353112321240 is a `hidden beast` number, since 3 + 5 + 311 + 2 + 321 + 24 + 0 = 666.

It is a super-2 number, since 2×353112321240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9590386 + ... + 9627134.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300000).

Almost surely, 2^353112321240 is an apocalyptic number.

353112321240 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 353112321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711244800000).

353112321240 is an abundant number, since it is smaller than the sum of its proper divisors (1069377278760).

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

353112321240 is a wasteful number, since it uses less digits than its factorization.

353112321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36848 (or 36838 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 353112321240 its reverse (42123211353), we get a palindrome (395235532593).

The spelling of 353112321240 in words is "three hundred fifty-three billion, one hundred twelve million, three hundred twenty-one thousand, two hundred forty".