355336013340 has 288 divisors, whose sum is σ = 1347497109504. Its totient is φ = 73633812480.

The previous prime is 355336013269. The next prime is 355336013363. The reversal of 355336013340 is 43310633553.

355336013340 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 3 + 601 + 3 + 3 + 40 = 666.

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 = 355336013295 and 355336013304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5051692 + ... + 5121548.

It is an arithmetic number, because the mean of its divisors is an integer number (4678809408).

Almost surely, 2^355336013340 is an apocalyptic number.

355336013340 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 355336013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673748554752).

355336013340 is an abundant number, since it is smaller than the sum of its proper divisors (992161096164).

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

355336013340 is a wasteful number, since it uses less digits than its factorization.

355336013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70257 (or 70252 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 355336013340 its reverse (43310633553), we get a palindrome (398646646893).

The spelling of 355336013340 in words is "three hundred fifty-five billion, three hundred thirty-six million, thirteen thousand, three hundred forty".